Title: Introduction to Siegel modular forms and Dirichlet series /
Authors: Andrianov, A. N.
Publisher: Springer,
Year: 2009
Subjects: Siegel domains.; Dirichlet series.; Hecke operators.; Algebra.; Mathematics.; Number theory.
Abstract: "Introduction to Siegel Modular Penns and Dirichlet Series gives a concise and self-contained introduction to the multiplicative theory of Siegel modular forms, Heeke operators, and zeta functions, including the classical case of modular forms in one variable. It serves to attract young researchers to this beautiful field and makes the initial steps more pleasant. It treats a number of questions that are rarely mentioned in other books. It is the first and only book so far on Siegel modular forms that introduces such important topics as analytic continuation and the functional equation of spinor zeta functions of Siegel modular forms of genus two."--Jacket.
Contents: Modular forms -- Dirichlet series of modular forms -- Hecke-Shimura rings of double cosets -- Hecke operators -- Euler factorization of radial series -- Conclusion: other groups, other horizons.