Arithmeticity in the Theory of Automorphic Forms

Arithmeticity in the Theory of Automorphic Forms

English | Aug. 22, 2000 | ISBN: 0821826719 | 314 Pages | PDF | 35 MB

The main objects of study in this book are Eisenstein series and zeta functions associated with Hecke eigenforms on symplectic and unitary groups. After preliminaries¨Cincluding a section, ``Notation and Terminology''¨Cthe first part of the book deals with automorphic forms on such groups. In particular, their rationality over a number field is defined and discussed in connection with the group action; also the reciprocity-law for the values of automorphic functions at CM-points is proved. Next, certain differential operators that raise the weight are investigated in higher dimension. The notion of nearly holomorphic functions is introduced, and their arithmeticity is defined. As applications of these, the arithmeticity of the critical values of zeta functions and Eisenstein series is proved. Though the arithmeticity is given as the ultimate main result, the book discusses many basic problems that arise in number-theoretical investigations of automorphic forms but that cannot be found in expository forms. Examples of this include the space of automorphic forms spanned by cusp forms and certain Eisenstein series, transformation formulas of theta series, estimate of the Fourier coefficients of modular forms, and modular forms of half-integral weight. All these are treated in higher-dimensional cases. The volume concludes with an Appendix and an Index. The book will be of interest to graduate students and researchers in the field of zeta functions and modular forms.

Download:

http://longfiles.com/0llr67tzdozg/Arithmeticity_in_the_Theory_of_Automorphic_Forms.pdf.html

[Fast Download] Arithmeticity in the Theory of Automorphic Forms


Ebooks related to "Arithmeticity in the Theory of Automorphic Forms" :
Empirical Research in Statistics Education
TTC - Understanding Calculus: Problems, Solutions, and Tips [repost]
A Companion to Interdisciplinary Stem Project-Based Learning, Second Edition
Intelligent Mathematics II: Applied Mathematics and Approximation Theory
Advances and Applications in Chaotic Systems
Partial Differential Equations An Introduction with Solutions of the Exercises
Hybrid Dynamical Systems: Modeling, Stability, and Robustness
Curve and Surface Design
The foundations of arithmetic: A logico-mathematical enquiry into the concept of number (Harper torc
Fundamental Concepts of Higher Algebra
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.