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modular form

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  • 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

  • Mock modular form — In mathematics, a mock modular form is the holomorphic part of a harmonic weak Maass form, and a mock theta function is essentially a mock modular form of weight 1/2. The first examples of mock theta functions were described by Srinivasa… …   Wikipedia

  • Siegel modular form — In mathematics, Siegel modular forms are a major type of automorphic form. These stand in relation to the conventional elliptic modular forms as abelian varieties do in relation to elliptic curves; the complex manifolds constructed as in the… …   Wikipedia

  • Hilbert modular form — In mathematics, a Hilbert modular form is a generalization of the elliptic modular forms, to functions of two or more variables.It is a (complex) analytic function on the m fold product of upper half planesmathcal{H} satisfying a certain kind of… …   Wikipedia

  • Modular art — is art created by joining together standardized units (modules) to form larger, more complex compositions. In some works the units can be subsequently moved, removed and added to – that is, modulated – to create a new work of art, different from… …   Wikipedia

  • Overconvergent modular form — In mathematics, overconvergent modular forms are elements of certain p adic Banach spaces (usually infinite dimensional) containing classical spaces of modular forms as subspaces. They were introduced by Nicholas M. Katz in 1972. References… …   Wikipedia

  • Form — may mean: *Form, the shape, appearance, or configuration, of an object *Form (furniture), a long seat or bench without a back *Form (education), a class, set or group of students *Form, a shallow depression or flattened nest of grass used by a… …   Wikipedia

  • Modular group — For a group whose lattice of subgroups is modular see Iwasawa group. In mathematics, the modular group Γ is a fundamental object of study in number theory, geometry, algebra, and many other areas of advanced mathematics. The modular group can be… …   Wikipedia

  • Modular invariance — In theoretical physics, modular invariance is the invariance under the group such as SL(2,Z) of large diffeomorphisms of the torus. The name comes from the classical name modular group of this group, as in modular form theory. In string theory,… …   Wikipedia

  • Modular Ocean Model — The Modular Ocean Model (MOM) is a three dimensional ocean circulation model designed primarily for studying the ocean climate system. The model is developed and supported primarily by researchers at the National Oceanic and Atmospheric… …   Wikipedia

  • Modular ocean model — The modular ocean model (MOM) is a three dimensional ocean circulation model designed primarily for studying the ocean climate system. The model is developed and supported primarily by researchers at the National Oceanic and Atmospheric… …   Wikipedia

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