meromorphic continuation

См. также в других словарях:

• Meromorphic function — In complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all D except a set of isolated points, which are poles for the function. (The terminology comes from the Ancient Greek meros …   Wikipedia

• Real analytic Eisenstein series — In mathematics, the simplest real analytic Eisenstein series is a special function of two variables. It is used in the representation theory of SL2(R) and in analytic number theory. It is closely related to the Epstein zeta function.There are… …   Wikipedia

• Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… …   Wikipedia

• L-function — The theory of L functions has become a very substantial, and still largely conjectural, part of contemporary number theory. In it, broad generalisations of the Riemann zeta function and the L series for a Dirichlet character are constructed, and… …   Wikipedia

• Hartogs' extension theorem — In mathematics, precisely in the theory of functions of several complex variables, Hartogs extension theorem is a statement about the singularities of holomorphic functions of several variables. Informally, it states that the support of the… …   Wikipedia

• Hasse-Weil zeta function — In mathematics, the Hasse Weil zeta function attached to an algebraic variety V defined over a number field K is one of the two most important types of L function. Such L functions are called global , in that they are defined as Euler products in …   Wikipedia

• Hecke character — In mathematics, in the field of number theory, a Hecke character is a generalisation of a Dirichlet character, introduced by Erich Hecke to construct a class of L functions larger than Dirichlet L functions, and a natural setting for the Dedekind …   Wikipedia

• Joseph Bernstein — (sometimes spelled I. N. Bernshtein or Iosif Naumovič Bernštejn , he. יוס(י)ף נאומוביץ ברנשטיין, ru. Иосиф Наумович Бернштейн) (born April 18, 1945 in Moscow) is an Israeli mathematician working at Tel Aviv University. He works in algebraic… …   Wikipedia

• Función zeta de Epstein — La función zeta de Epstein ζQ(s) para una forma integral cuadrática positiva del tipo Q(m, n) = cm2 + bmn +an2 está definida por: En esencia es un caso especial de las series reales analíticas de Eisenstein para un valor especial de z, dado que:… …   Wikipedia Español

• Barnes zeta function — In mathematics, a Barnes zeta function is a generalization of the Riemann zeta function introduced by E. W. Barnes (1901). It is further generalized by the Shintani zeta function. Definition The Barnes zeta function is defined by where w and …   Wikipedia

• Gamma function — For the gamma function of ordinals, see Veblen function. The gamma function along part of the real axis In mathematics, the gamma function (represented by the capital Greek letter Γ) is an extension of the factorial function, with its… …   Wikipedia