Eisenstein Series and Applications by Wee Teck Gan

Eisenstein Series and Applications by Wee Teck Gan

Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas that are not usually interacting with each other, this volume introduces diverse users of Eisenstein series to a variety of important applications. With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series. The central theme of the exposition focuses on the common structural properties of Eisenstein series occurring in many related applications that have arisen in several recent developments in arithmetic: Arakelov intersection theory on Shimura varieties, special values of L-functions and Iwasawa theory, and equidistribution of rational/integer points on homogeneous varieties. Key questions that are considered include: Is it possible to identify a class of Eisenstein series whose Fourier coefficients (resp. special values) encode significant arithmetic information? Do such series fit into p-adic families? Are the Eisenstein series that arise in counting problems of this type?

F. Bogomolov is Professor at the Courant Institute, NYU. He is best known for his pioneering work on hyperk�hler manifolds. B. Hassett is Professor and Chair of the department of Mathematics at Rice University. He published two books and around 50 papers on Algebraic and Arithmetic Geometry. Yuri Tschinkel is Professor at the Courant Institute, NYU and Director of the Mathematics and the Physical Sciences Division at the Simons Foundation.

SKU	Unavailable
ISBN 13	9780817644963
ISBN 10	0817644962
Title	Eisenstein Series and Applications
Author	Wee Teck Gan
Series	Progress In Mathematics
Condition	Unavailable
Publisher	Birkhauser Boston Inc
Year published	2008-01-18
Number of pages	314
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.