Beschreibung

This is intended for a graduate course on Siegel modular forms, Hecke operators, and related zeta functions. The authors aim is to present a concise and self-contained introduction to an important and developing area of number theory that will serve to attract young researchers to this beautiful field.Topics include:* analytical properties of radial Dirichlet series attached to modular forms of genuses 1 and 2;* the abstract theory of HeckeShimura rings for symplectic and related groups;* action of Hecke operators on Siegel modular forms;* applications of Hecke operators to a study of multiplicative properties of Fourier coefficients of modular forms;* Hecke zeta functions of modular forms in one variable and to spinor (or Andrianov) zeta functions of Siegel modular forms of genus two;* the proof of analytical continuation and functional equation (under certain assumptions) for Euler products associated with modular forms of genus two.This text contains a number of exercises and the only prerequisites are standard courses in Algebra and Calculus (one and several variables).

Rezensionen ( 0 )
Every Friday we give gifts for the best reviews.
The winner is announced on the pages of ReadRate in social networks.
Zitate (0)
Sie können als Erste ein Zitat veröffentlichen.
Top