abelian function
11Artin L-function — In mathematics, an Artin L function is a type of Dirichlet series associated to a linear representation ρ of a Galois group G . These functions were introduced in the 1923 by Emil Artin, in connection with his research into class field theory.… …
12Zonal spherical function — In mathematics, a zonal spherical function or often just spherical function is a function on a locally compact group G with compact subgroup K (often a maximal compact subgroup) that arises as the matrix coefficient of a K invariant vector in an… …
13Free abelian group — In abstract algebra, a free abelian group is an abelian group that has a basis in the sense that every element of the group can be written in one and only one way as a finite linear combination of elements of the basis, with integer coefficients …
14Multiplicative function — Outside number theory, the term multiplicative function is usually used for completely multiplicative functions. This article discusses number theoretic multiplicative functions. In number theory, a multiplicative function is an arithmetic… …
15Category of abelian groups — In mathematics, the category Ab has the abelian groups as objects and group homomorphisms as morphisms. This is the prototype of an abelian category.The monomorphisms in Ab are the injective group homomorphisms, the epimorphisms are the… …
16Equations defining abelian varieties — In mathematics, the concept of abelian variety is the higher dimensional generalization of the elliptic curve. The equations defining abelian varieties are a topic of study because every abelian variety is a projective variety. In dimension d ge; …
17Symmetric function — In mathematics, the term symmetric function can mean two different concepts. A symmetric function of n variables is one whose value at any n tuple of arguments is the same as its value at any permutation of that n tuple. While this notion can… …
18Theta function — heta 1 with u = i pi z and with nome q = e^{i pi au}= 0.1 e^{0.1 i pi}. Conventions are (mathematica): heta 1(u;q) = 2 q^{1/4} sum {n=0}^infty ( 1)^n q^{n(n+1)} sin((2n+1)u) this is: heta 1(u;q) = sum {n= infty}^{n=infty} ( 1)^{n 1/2}… …
19Dedekind zeta function — In mathematics, the Dedekind zeta function of an algebraic number field K, generally denoted ζK(s), is a generalization of the Riemann zeta function which is obtained by specializing to the case where K is the rational numbers Q. In particular,… …
20p-adic L-function — In mathematics, a p adic zeta function, or more generally a p adic L function, is a function analogous to the Riemann zeta function, or more general L functions, but whose domain and target are p adic (where p is a prime number). For example, the …
