Introduction to Siegel Modular Forms and Dirichlet Series

• Main Author: Andrianov, Anatoli. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer US, 2009.
• Series: Universitext,
• Subjects: Mathematics.; Algebra.; Number theory.; Number Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-78753-4

Introduction to Siegel Modular Forms and Dirichlet Series gives a concise and self-contained introduction to the multiplicative theory of Siegel modular forms, Hecke operators, and zeta functions, including the classical case of modular forms in one variable. It serves to attract young researchers t...

Table of Contents:

• Preface
• Introduction: The Two Features of Arithmetical Zeta Functions
• 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
• Notes
• Short Bibliography.-.