Non-Archimedean L-Functions [electronic resource] of Siegel and Hilbert Modular Forms / by Alexei A. Panchishkin.

This book is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central object are L-functions of classical Siegel modular forms whose special values are studied using the Rankin-Selberg method and the action of certain differential operators on modular forms which...

Full description

Bibliographic Details
Uniform Title:Lecture Notes in Mathematics, 1617-9692 ; 1471
Main Author: Panchishkin, Alexei A. (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1991.
Edition:1st ed. 1991.
Series:Lecture Notes in Mathematics, 1471
Subjects:
Number theory.
Algebraic geometry.
Online Access:
Springer Book Archive - Mathematics: 1991 (Springer Link)
Variant Title:
Non-Archimedean L-Functions of Siegel and Hilbert Modular Forms
Format: Electronic eBook
Contents:
  • Content
  • Acknowledgement
  • 1. Non-Archimedean analytic functions, measures and distributions
  • 2. Siegel modular forms and the holomorphic projection operator
  • 3. Non-Archimedean standard zeta functions of Siegel modular forms
  • 4. Non-Archimedean convolutions of Hilbert modular forms
  • References.