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Eisenstein Series and Applications (Hardcover, 2008 ed.)
Loot Price: R3,162
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Eisenstein Series and Applications (Hardcover, 2008 ed.)
Series: Progress in Mathematics, 258
Expected to ship within 10 - 15 working days
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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 which are not usually interacting with
each other, this volume will introduce 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? and, Are the Eisenstein series that arise in
counting problems of this type?
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