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automorphic form

Толкование Перевод

1 automorphic form

мат. автоморфная форма

Большой англо-русский и русско-английский словарь > automorphic form
2 automorphic form

Математика: автоморфная форма

Универсальный англо-русский словарь > automorphic form
3 automorphic form

мат.

автоморфная форма

English-Russian scientific dictionary > automorphic form
4 automorphic

автоморфный - automorphic body - automorphic deformation - automorphic extension - automorphic factor - automorphic form - automorphic function - automorphic graph - automorphic group - automorphic integral - automorphic number - automorphic potential - automorphic set - automorphic transformation

Большой англо-русский и русско-английский словарь > automorphic
5 form

1) анкета; бланк

2) вид; форма || придавать вид или форму

3) контур; очертание

4) конфигурация

5) разновидность

6) строит. опалубка; элемент опалубки

7) скамейка, лавочка

8) формуляр

9) составлять; образовывать

10) формироваться

•

calculation in a series form — матем. вычисление с помощью ряда

evaluation of indeterminate form — матем. раскрытие неопределённости

expression in a closed form — выражение в конечном виде

fraction in a factored form — матем. дробь в форме разложения на множители

in a functonal form — в виде функции

in an expanded form — в виде ряда; в развёрнутом виде

integration in a closed form — матем. интегрирование в конечном виде

in the form of — в виде

of closed form — матем. в конечном виде, с конечным числом членов

preparation of type form — полигр. чернение набора

reduction to a normal form — матем. приведение к нормальной форме

to be supplied in a knock-down form — поставляться в разобранном виде

to bring into a canonical form — матем. приводить к канонической форме; приводить к каноническому виду

to draw up in a draft form — составлять начерно

to form a knee — сгибаться под углом

to form a circle — замыкаться в кольцо; образовывать кольцо

to form an angle with — образовывать угол c

to form an erect image — давать прямое изображение

to present in a factor form — разлагать на множители

to rearrange in the form — переписывать в виде; преобразовывать к виду ( об уравнениях)

to reduce equation to a form — приводить уравнение к виду

to simplify to this form — упростить и привести к следующему виду

to take on a form — принимать форму; принимать вид

- abridged form

- absolute form

- absolutely bounded form
- absolutely convergent form - absolutely extreme form
- abstract form

- adjoint form

- alternating form

- antiholomorphic form

- antilinear form

- antisymmetric form

- arithmetical form

- assertional form

- asymptotic form

- autodual form

- automorphic form

- bihomogeneous form

- bilinear form

- binomial form

- biquadratic form

- blank form

- block form

- boundary form

- bounded form

- bundle form

- categorical form

- center-radius form

- characteristic form

- classical canonical form

- classically integral form

- closable form

- coclosed form

- coded form

- coercive form

- collapsible form

- combinatory form

- compact form

- complementary boundary form

- completely positive form

- complex form

- complex-valued form

- condensed form

- confluent form

- conjugate form

- conjunctive form

- connection form

- contact form

- contiguous form

- contracted form

- convergent form

- convex form

- copositive form

- cubic form

- curvature form

- cusp form

- decimal form

- decomposable form

- defined form
- definite form
- degenerate form

- diagonal form

- diagonalized form

- difference form

- differential form

- dimensionless form

- discontinuous form

- disjunctive form

- distributive form

- divergence form

- dominant form

- double form

- echelon form

- effective form

- elemental form
- elementary form - elimination form of inverse
- elliptic form

- enantiomorphous form

- equivalent forms

- equivariant form

- essentually definite form
- everywhere regular form - evolutionary operation form
- exact form

- expanded form

- explicit form

- exponential form

- extensive form

- exterior form

- extreme form

- fiber form

- final form

- first fundamental form

- flat form

- form of constraint

- functional form

- fundamental form

- gage form

- generalized form

- generally covariant form
- geodesic curvature form
- goniometric form

- ground form

- hemihedral form

- holohedral form

- homological form

- horizontal form

- hyperbolic form

- hypocontinuous form

- implicative form

- implicit form

- imprimitive form

- improperly primitive form
- indefinite form
- indeterminate form

- index form

- inertia form

- inhomogeneous modular form

- initial form

- integer form

- integrable form

- integrated form of equation

- integro-differential form

- integro-power form

- intercept form

- intersection form

- invariant form

- irreducible form

- irredundant form

- iteratable form

- iterated form

- krakowian form

- left-invariant form

- limiting form

- locally compactifiable form

- logarithmical form

- measurable form

- meromorphic form

- message form

- minimal form

- modular form

- m-sectorial form

- multilinear form

- multiplicative form

- name form

- n-ary form

- negative definite form

- negative form

- negative semidefinite form

- neutral form

- nondegenerate form

- nonfull form

- nonnegative definite form

- nonnegative form

- nonpositive definite form

- nonpositive form

- nonsingular form

- norm form

- normal disjunctive form

- normed form

- normic form

- nuclear bilinear form

- null form

- numerical form

- one-signed quadratic form

- open form

- operator form

- optically active form
- p-adically equivalent form
- parametric form

- perfect form

- Pfaffian form

- piecewise linear form

- point-direction form

- point-slope form

- polarization form

- polarized form

- polylinear form

- polynomial form

- positive semidefinite form

- predicate form

- prime form

- primitive quadratic form

- principal form

- product form

- projective form

- properly equivalent forms

- propositional form

- pseudoasymptotic form

- pseudoelliptical form

- pseudoholomorphic form

- pseudoquadratic form

- pseudovolume form

- quantifier form

- quartic form

- quasiasymptotic form

- quasibilinear form

- quasidiagonal form

- quasinatural form

- quasinormal form

- quasiregular form

- quaternary form

- quaternion form

- rational form

- real-valued form

- reciprocal form

- rectangular form of complex number

- reduced echelon form

- reduced form of quadratic equation

- reduced form

- reflexive form

- relative defferential form
- relatively bounded form - repair request form
- residual form

- residue form

- resolving form

- resultant form

- scalar form

- second fundamental form

- self-conjugate form

- self-dual form

- semibasic form

- semibilinear form

- semicanonical form

- semicontinuous form

- semidefinite form

- semidiscrete form

- semiequivalent form

- seminormal form

- separately continuous form

- sesquilinear form

- shape form

- sharp form

- sign-and-absolute-value form

- simplified form

- skew-symmetric form

- slope-intercept form

- smooth form

- solder form

- space form

- special minimal form

- spectral form

- spinor form

- statement form

- strictly positive form

- structural form

- supercusp form

- symbolic form

- symmetric form of equation

- symmetrized form

- symplectic form

- tensorial form

- ternary quadratic form
- third fundamental form
- three-point form

- torsion form

- totally continuous form
- totally definite form - totally discontinuous form
- trace form

- transposed form

- trilinear form

- triple-diagonal form

- two-intercept form

- two-point form

- unbounded form

- unit bilinear form

- unitary form

- vectorial form

- vector-valued form

- vicinal form

- weighted form of lemma

English-Russian scientific dictionary > form
6 cusp form

Математика: параболическая форма (automorphic functions)

Универсальный англо-русский словарь > cusp form
7 автоморфная форма

automorphic form мат.

Русско-английский научно-технический словарь Масловского > автоморфная форма
8 автоморфная форма

мат. automorphic form

Большой англо-русский и русско-английский словарь > автоморфная форма
9 автоморфная форма

Mathematics: automorphic form

Универсальный русско-английский словарь > автоморфная форма
10 параболический

adj. parabolic; параболическая форма, cusp form ( automorphic functions)

Русско-английский словарь математических терминов > параболический
11 параболическая форма

Mathematics: cusp form (automorphic functions)

Универсальный русско-английский словарь > параболическая форма
12 параболический

adj. parabolic;

параболическая форма - cusp form ( automorphic functions)

Русско-английский математический словарь > параболический
13 factor

1) фактор || факторный

2) коэффициент; множитель

3) показатель

4) факторизовать; разлагать на множители

•

by a factor of n — в n раз

factor modulo p — множитель по модулю p

factor outside x — множитель перед x

to correct by the factor — вводить поправочный множитель

to diminish by the factor of N — уменьшать в N раз

to factor by — умножать на

to factor into — разлагать на

to reduce a fraction by a factor — приводить дробь к общему знаменателю; сокращать дробь на некоторый множитель

- absolutely free factor

- accountable factor

- aha factor

- alternating-sign factor

- association factor

- atomic scattering factor

- audibility factor

- automorphic factor

- bipolar factor

- blasting factor

- block factor

- causal factor

- central significant factor

- centroid factor

- chance factor

- characteristically simple factor

- chief factor

- circulating factor

- circulation multiplicity factor

- commutative factor

- complementary factor

- completely simple factor

- complex factor

- composition factor

- constraint factor

- controlled factor

- convergence factor

- converging factor

- cyclical factor

- demagnetizing factor

- depolarizing factor

- derating factor

- deseasonalizing factor

- dielectric dissipation factor

- dimension factor

- direct factor

- directed factor

- directly indecomposable factor

- dispersion factor

- divergence factor

- dominant factor

- doublet factor

- dryness factor

- dummy factor

- emergency outage factor

- engagement factor

- extra factor

- factor of algebraic polynomial

- factor of graph

- factor of integer

- factor of matroid

- factor of merit

- factor of proportionality

- factor of subdivision

- factor of term

- Fanning friction factor

- field form factor

- finite factor

- first shape factor

- fixed factor

- flare factor

- flicker factor

- forecasting factor

- free factor

- frequency force factor

- gas amplification factor

- gas yield factor

- Gaunt correction factor

- general factor

- governing factor

- gradation factor

- greatest common factor

- greatest prime factor

- gust factor

- gust load factor

- highest common factor

- hyperfinite factor

- indecomposable factor

- inseparable factor

- interaction factor

- internal factor

- invariant factor

- irreducible factor

- joining factor

- klirr factor

- labor participation factor

- lateral load factor

- lattice-ordered factor

- likelihood factor

- logarithmic factor

- logical factor

- longitudinal load factor

- lower central factor

- main factor

- main plot factor

- maneuver load factor

- matching factor

- measurable factor

- monomial factor

- motor service factor

- multiple factor

- nested factor

- nilpotent factor

- noncommutative factor

- nonlinear distortion factor

- nonrandom factor

- normal load factor

- normalization factor

- normalizing factor

- operator factor

- overcorrection factor

- overrelaxation factor

- pattern-propagation factor

- periodicity factor

- phase-angle correction factor

- plane earth factor

- plot factor

- precision factor

- preexponential factor

- proper factor

- proportional control factor

- pulse duty factor

- pump modulation factor

- pumping factor

- qualitative factor

- quantitative factor

- queueing utility factor

- quotient convergence factor

- reactance factor

- reduced factor

- regular factor

- relative complexity factor

- replication factor

- reset factor of a relay

- scalar factor

- scatter factor

- second shape factor

- secondary factor

- selectivity factor

- semifinite factor

- semigroup factor

- signature factor

- silt factor

- single scale factor

- singular factor

- spherical earth factor

- stadia factor

- statistical factor

- statistical weight factor

- steric factor

- strain sensitivity factor

- subgroup factor

- subplot factor

- surplus factor

- synchronization factor

- test compression factor

- thermal stability factor

- transition factor

- transverse load factor

- trigonometric factor

- trivial factor

- turbine load factor

- uncertainty factor

- uncontrolled factor

- unessential factor

- unit factor

- unsymmetrical factor

- upper central factor

- variability factor

- variable factor

- variation factor

- visibility factor

English-Russian scientific dictionary > factor
14 group

1) группа, ансамбль || групповой

- finishing mill group
- roughing mill group
2) совокупность; комплект

3) группировка || группировать(ся)

4) группировочный

5) класс; категория || классифицировать; категоризировать

6) хим. остаток

7) сгусток; скопление

8) узел

9) матем. группа

group modulo one — группа по модулю единица

group over field — группа над полем

group over ring — группа над кольцом

group with division — группа с делением

group with multiple operators — группа с многоместными операторами, мультиоператорная группа

group with operators — группа с операторами

group with topology — группа с топологией

group with trivial center — группа без центра

group with zero — группа с нулем

group without center — группа без центра

group without operators — группа без операторов

group without small subgroups — группа без малых подгрупп

group without torsion — группа без кручения

invariance under group — инвариантность относительно группы

to group like terms — приводить подобные члены

- Abelian group

- abelianized group

- abhomotopy group

- absolute cohomology group
- absolute free group - absolute homotopy group - absolutely irreducible group - absolutely simple group
- abstract group

- additively free group
- additively written group - adele group - adelic group
- adelized group

- adjoint group

- adjusted group

- affine group

- age group

- algebraic group

- algebraically closed group
- algebraically compact group - algebraically simple group - almost connected group - almost cyclic group - almost ordered group - almost periodic group - almost simple group - alternating form group
- alternating group

- amalgamated group

- amenable group

- analytical group

- anharmonic group

- anisotropic group

- antiunitary group

- aperiodic group

- archimedean group

- arcwise connected group

- arithmetic group

- asystatic group

- automorphic group

- automorphism group

- autotopism group

- base group

- basic group

- betweennes group

- bicharacter group

- bicompact group

- bigraded group

- binary group

- bitransformation group

- bordism group

- boundary group

- bounded group

- braid group

- bundle group

- cancellation group
- cancellative group
- canonical transformation group

- case-shift code group
- cellular homology group
- central group

- centrally closed group

- chain group

- channel master group
- characteristically simple group
- circle group

- circular group

- classical group

- closed homology group

- cobordism group

- coboundary group

- cochain group

- cocyclic group

- code group

- coherent group

- cohomological group

- cohomology group

- cohomotopic group

- cohomotopy group

- collinear group

- collineation group

- color group

- commensurability group

- commutative group

- commutator group

- complemented group
- complementing group
- complete group

- complete monomial group
- completely anisotropic group - completely discontinuous group - completely divisible group - completely indecomposable group - completely integrally closed group
- complex group

- composite group

- conditionally complete group

- configuration group

- conformal group

- congruence group

- connected group

- continuous group

- contracted group

- contrahomology group

- control group

- coseparable group

- cotortion group

- countable group

- countably discrete group

- covering group

- critical group

- crystallographic group

- cubical homology group

- cuspidal group

- cycle group

- cyclically ordered group

- cycloidal group

- decomposable group

- decomposition group

- defect group
- deficient group
- degree of group

- dense group

- denumerable symmetric group

- derived group

- diagonal group

- diagonalizable group

- dicyclic group

- differentiable group

- differential group

- digit group

- dihedral group

- dihomology group

- dimensionless group

- direct cohomology group
- direct homology group - direct indecomposable group
- directed group

- directly indecomposable group

- discontinuous group

- discrete group

- discriminating group

- dispersible group

- displacement group

- distal group

- divisible group

- division closure group

- divisor group

- double group

- doubly covered group
- doubly transitive group
- dual group

- dyadic group

- dynamical group

- dynamical symmetry group

- edge group

- edge-path group

- effect group

- effective group

- effectively acting group

- elation group

- elementary group

- elliptic group

- embeddable group

- empennage group

- endomorphism group

- enlarged group

- entire group

- equationally compact group

- equiaffine group

- equicontinuous group

- equiform group

- equivalence group

- etale group

- exact symmetry group

- exceptional group

- existentially closed group

- exponent of group

- exponential group

- exponentiation group

- extended group

- extension group

- factor group

- factorizable group

- factorization of group

- field character group

- filtered group

- final group

- finite group

- finite-dimensional group

- finitely approximable group

- finitely cogenerated group
- finitely defined group - finitely generated group - finitely presented group - finitely related group - first homology group - first homotopy group
- four group

- four-dimensional group

- four-strand braid group

- free group

- freely acting group
- freely generated group
- frieze group

- full braid group

- full commutator group
- full linear group - full orthogonal group - full rotation group - full symmetric group - full unimodular group
- functional group

- functorial quotient group

- fundamental group

- fuzzy group

- gage group

- general group

- general linear group

- generalized group

- geometrical homology group

- global group

- grading group

- group of actions

- group of affine transformations

- group of automorhisms

- group of autoprojectivities

- group of boundaries

- group of circle-preserving transformations
- group of classes of algebras - group of covering transformations
- group of digraph

- group of dilatations

- group of displacements

- group of divisors

- group of dodecahedron

- group of endomorphisms

- group of extensions

- group of finite order
- group of finite rank
- group of fractions

- group of groups

- group of homothetic transformations

- group of ideals

- group of infinite cardinality
- group of infinite order - group of infinite rank - group of inner automorphisms
- group of integers

- group of invertible elements

- group of involutions

- group of isometry

- group of isotropy

- group of left quotients
- group of linear equivalence - group of linear forms - group of linear manifold
- group of map

- group of mapping

- group of motions

- group of numbers

- group of observations

- group of order

- group of plane rotations

- group of polarity

- group of prime residue classes
- group of principal ideles
- group of projection

- group of projectivities

- group of proper rotations

- group of quotients

- group of rational numbers
- group of real line - group of recursive permutations - group of right quotients
- group of self-equivalence

- group of similarities

- group of singular homologies

- group of six

- group of spectral homologies

- group of square

- group of substitutions

- group of symmetries

- group of transformations

- group of translations

- group of units

- group of vectors

- group of zeroids

- hidden symmetry group

- holonomy group

- homeomorphism group

- homogeneous group

- homologic group

- homomorphism group

- homothetic group

- homotopy group of spheres

- hyperbolic group

- hypercentral group

- hypercohomology group

- hyperelementary group

- hyperemetric topological group

- hyperexponential group

- hypermetric topological group

- hyperoctahedral group

- icosahedral group

- ideal class group
- idele class group
- idele group

- identity group

- image group

- imprimitive group

- indecomposable group

- indicable group

- individual trunk group

- inertia group

- infinite classical group

- infinite group

- infinite-dimensional group

- infinitely divisible group

- infinitesimal group

- injective group

- integrable group

- integral group

- internal symmetry group

- intransitive group

- intrinsic group

- invariance group

- inverse group

- irreducible group

- irregular group

- isometry group

- isomorphically embedded group

- isospin group

- isotrophy group

- iteration group

- kernel group

- large ramification group

- lattice-ordered group

- left group

- left transformation group

- left-ordered group

- Lie group

- limit group

- limiting group

- line group

- linear fractional group
- linearly ordered group - linearly transitive group
- little group

- local group

- locally almost periodic group
- locally bicompact group - locally closed group - locally compact group - locally connected group - locally cyclic group - locally defined group - locally embeddable group - locally finite group - locally free group - locally infinite group - locally nilpotent group - locally normal group - locally solvable group
- loose group

- lower basic group

- main group

- majority group

- massive group

- matrix group

- maximal group

- maximally valued group

- measurable group

- metabelian group

- metacyclic group

- metalinear group

- metanilpotent group

- metaplectic group

- metric group

- metrizable group

- minimal group

- mixed group

- modal group

- modular group

- modularity group

- modulus group

- monodromy group

- monogenic group

- monolithic group

- monomial group

- monothetic group

- multioperator group

- multiplicative group

- multiplicatively written group

- multiplier group

- multiplier of group

- multiply connected group
- multiply primitive group - multiply transitive group
- narrow group

- n-dimensional group

- n-dimensional homology group

- neighborhood group

- nested group

- n-fold transitive group

- n-generator group

- nil group

- node group

- Noether group

- noncommutative group

- noncommutative group

- noncompact group

- noncyclic group

- nondense group

- nonhomogeneous holonomy group

- nonintegrable group

- noninvariance group

- nonperiodical group

- nonsoluble group
- nonsolvable group
- nonspecial group

- non-special group

- nontrivial group

- norm group

- normal group

- n-ply transitive group
- n-th homotopy group
- nuclear group

- one-headed group

- one-parameter group

- operator-free group

- orderable group

- ordered homology group
- ordered pair group
- ordering of group

- oriented bordism group

- oriented homology group

- ornamental group

- orthochronous group

- outer group

- p-adic group

- pair group

- pairwise transitive group

- parabolic group

- paraconvex group

- parafree group

- parametric group

- parametrized group

- paramodular group

- parasolvable group

- partial group

- partially ordered group

- particle group

- p-divisible group

- perfect group

- period group

- permanent group

- permutable group

- permutably decomposable group

- permutation group

- permutation symmetry group

- phantom group

- phase group

- point group

- polycyclic group

- polyhedral group

- polynilpotent group

- power group

- presentation group

- primary group

- prime power group group
- principal congruence group
- profinite group

- projective group

- projective module group

- pronilponent group

- proper group

- properly discontinuous group
- properly orthogonal group - properly unimodular group
- pseudoconvex group

- pseudoorthogonal group

- pseudounitary group

- p-th group

- pulse group

- pure injective group
- pure projective group - pure rotation group - pure simple group
- quadratic group

- quadruply transitive group

- quasiaffine group

- quasiclinic group

- quasicompact group

- quasicyclic group

- quasidecomposable group

- quasidihedral group

- quasidual group

- quasiembedded group

- quasi-indecomposable group

- quasiinjective group

- quasiisomorphic group

- quasimotion group

- quasipure injective group
- quasipure projective group
- quasirotation group

- quasiseparable group

- quasisimple group

- quasisplit group

- quasitotal group

- quaternion group

- quintuply transitive group
- quotient divisible group
- quotient group

- radical group

- ramification group

- randomized group

- rational group

- real group

- rectangular group

- recursively presented group

- reduced group

- reducibly free group

- reductive group

- reflection group

- reflexive group

- relative cohomology group

- relative group

- relatively free group

- renormalization group

- representation group

- residually finite group
- residually nilpotent group - restricted holonomy group
- right group

- right transformation group

- right-ordered group

- rigid group

- rope group

- rosette group

- rotational group

- rotation-reflection group

- semidihedral group

- semielementary group

- semigroup group

- semilinear group

- semilocally simply connected group

- semiordered group

- semiorthogonal group

- semireductive group

- semiregular group

- semisimple group

- semisymmetric group

- semiuniform group

- set-transitive permutation group

- shape group

- sharply doubly transitive group
- sharply transitive group
- similarity group

- simplicial group

- simplicity of group

- simply continuous group
- simply ordered group - simply reducible group - simply transitive group - singular cogomology group - singular homology group
- six-parameter group

- slender group

- smooth group

- solenoidal group

- soluble group
- solvable group
- space group

- spherical group

- spinor group

- splittable group

- splitting group

- sporadic group

- square group

- stability group
- stable group
- standard group

- stationary group

- stochastic group

- strictly ordered group
- strictly transitive group - strongly polycyclic group
- structural group

- structurally ordered group

- structure group

- study group

- subabnormal group

- subdirectly irreducible group

- subinvariant group

- submonogenic group

- subnormal group

- subsoluble group
- subsolvable group
- substituent group

- substitution group

- superconformal group

- supersoluble group
- supersolvable group
- Sylow group

- symmetrical group

- symmetry group

- symplectic group

- tame group

- tangent group

- tetrahedral group

- three-digit group

- three-dimensional rotation group

- three-parameter group

- three-strand braid group

- topological group

- topologically complete group

- topologically isomorphic groups

- topologically solvable group

- topologized group

- toral group

- toroidal group

- torsion group

- torsion-free group

- torus group

- totally disconnected group
- totally ordered group - totally projective group - totally reducible group
- trace on group

- track group

- translation group

- transvection-rich group

- treatment combination group

- trellis group

- triad group

- triangle group

- triangulable group

- triangular group

- triangulated group

- triangulation group

- trigonalizing group

- triplewise group
- triply transitive group
- trunk group

- twisted group

- two group

- two-digit group

- two-dimensional group

- two-parameter group

- underlying group

- uniaxial group

- unicentral group

- unicoherent group

- uniformizable group

- uniformly decomposable group

- unifying group

- unimodular group

- unipotent group

- uniprimitive group

- unique group

- unirational group

- unit group

- unitarily restricted group
- unitary symmetry group - unitary transformation group
- unitriangular group

- universal group

- valuation group
- value group
- vector group

- verbally simple group

- vierbein group

- wallpaper group

- wave group

- weak cohomology group
- weak homology group - weakly mixing group
- weight group

- whole group

- zero-dimensional group

- zeroth group

English-Russian scientific dictionary > group
15 параболический

adj.

parabolic

параболическая форма — cusp form (automorphic functions)

Русско-английский словарь по математике > параболический

См. также в других словарях:

Automorphic form — In mathematics, the general notion of automorphic form is the extension to analytic functions, perhaps of several complex variables, of the theory of modular forms. It is in terms of a Lie group G, to generalise the groups SL2(R) or PSL2 (R) of… … Wikipedia
Automorphic — in mathematics may apply to*Automorphic numbers *Automorphic forms or the related automorphic representations *Automorphism … Wikipedia
Automorphic number — In mathematics an automorphic number (sometimes referred to as a circular number) is a number whose square ends in the same digits as number itself. For example, 52 = 25, 762 = 5776, and 8906252 = 793212890625, so 5, 76 and 890625 are all… … Wikipedia
Modular form — In mathematics, a modular form is a (complex) analytic function on the upper half plane satisfying a certain kind of functional equation and growth condition. The theory of modular forms therefore belongs to complex analysis but the main… … Wikipedia
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Cusp form — In number theory, a branch of mathematics, a cusp form is a particular kind of modular form, distinguished in the case of modular forms for the modular group by the vanishing in the Fourier series expansion (see q expansion) Σanqn of the constant … Wikipedia
Maass wave form — In mathematics, a Maass wave form is a function on the upper half plane that transforms like a modular form but need not be holomorphic. They were first studied by Maass harv|Maass|1949.DefinitionA Maass wave form is defined to be a continuous… … Wikipedia
Factor of automorphy — In mathematics, the notion of factor of automorphy arises for a group acting on a complex analytic manifold. Suppose a group G acts on a complex analytic manifold X. Then, G also acts on the space of holomorphic functions from X to the complex… … Wikipedia
Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… … Wikipedia
Langlands program — The Langlands program is a web of far reaching and influential conjectures that connect number theory and the representation theory of certain groups. It was proposed by Robert Langlands beginning in 1967. Connection with number theory The… … Wikipedia
Robert Langlands — Robert Phelan Langlands (born October 6, 1936 in New Westminster, British Columbia, Canada) was one of the most influential mathematicians of the 20th century,and remains influential in the 21st.His work in automorphic forms and representation… … Wikipedia

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