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Field name	Details
Dewey Class	512.7
Title	Eisenstein Series and Applications ([Ebook]) / edited by Wee Teck Gan, Stephen S. Kudla, Yuri Tschinkel.
Author	Gan, Wee Teck
Added Personal Name	Kudla, Stephen S.
Added Personal Name	Tschinkel, Yuri
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : Birkhäuser , 2008.
Physical Details	: online resource.
Series	Progress in mathematics ; 258
ISBN	9780817646394
Summary Note	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 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? Contributors include: B. Brubaker, D. Bump, J. Franke, S. Friedberg, W.T. Gan, P. Garrett, M. Harris, D. Jiang, S.S. Kudla, E. Lapid, K. Prasanna, A. Raghuram, F. Shahidi, R. Takloo-Bighash:
System details note	Online access is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-8176-4639-4
Links to Related Works	Subject References: Algebraic Geometry . Applications of Mathematics . Geometry . Geometry, Algebraic . Mathematics . Number Theory . Topological groups . Topological groups, Lie groups . Authors: editor . Gan, Wee Teck . Kudla, Stephen S. . Tschinkel, Yuri . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 512.7 . 512.7 (DDC 22) .

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Eisenstein Series and Applications

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