Koecher–Maass series
Encyclopedia
In mathematics, a Koecher–Maass series is a type of Dirichlet series that can be expressed as a Mellin transform
of a Siegel modular form
, generalizing Hecke's method of associating a Dirichlet series to a modular form using Mellin transforms. They were introduced by and .
Mellin transform
In mathematics, the Mellin transform is an integral transform that may be regarded as the multiplicative version of the two-sided Laplace transform...
of a Siegel modular form
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 theory are basic models for what a moduli space for...
, generalizing Hecke's method of associating a Dirichlet series to a modular form using Mellin transforms. They were introduced by and .