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Eisenstein series and automorphic representations : = with applications in string theory /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Eisenstein series and automorphic representations :/ Philipp Fleig, Max-Planck-Institut für Dynamik und Selbstorganisation, Germany [and three others].
Reminder of title:	with applications in string theory /
Author:	Fleig, Philipp,
Description:	1 online resource (xviii, 567 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 04 Jul 2018).
Subject:	Eisenstein series. -
Online resource:	https://doi.org/10.1017/9781316995860
ISBN:	9781316995860 (ebook)

Eisenstein series and automorphic representations : = with applications in string theory /
Fleig, Philipp,

Eisenstein series and automorphic representations :with applications in string theory /Philipp Fleig, Max-Planck-Institut für Dynamik und Selbstorganisation, Germany [and three others]. - 1 online resource (xviii, 567 pages) :digital, PDF file(s). - Cambridge studies in advanced mathematics ;176. - Cambridge studies in advanced mathematics ;134..

Title from publisher's bibliographic system (viewed on 04 Jul 2018).

This introduction to automorphic forms on adelic groups G(A) emphasises the role of representation theory. The exposition is driven by examples, and collects and extends many results scattered throughout the literature, in particular the Langlands constant term formula for Eisenstein series on G(A) as well as the Casselman-Shalika formula for the p-adic spherical Whittaker function. This book also covers more advanced topics such as spherical Hecke algebras and automorphic L-functions. Many of these mathematical results have natural interpretations in string theory, and so some basic concepts of string theory are introduced with an emphasis on connections with automorphic forms. Throughout the book special attention is paid to small automorphic representations, which are of particular importance in string theory but are also of independent mathematical interest. Numerous open questions and conjectures, partially motivated by physics, are included to prompt the reader's own research.

ISBN: 9781316995860 (ebook)Subjects--Topical Terms:

676248
Eisenstein series.

LC Class. No.: QA353.A9 / E47 2018

Dewey Class. No.: 512.7/3

Eisenstein series and automorphic representations : = with applications in string theory /
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245 1 0 $a Eisenstein series and automorphic representations : $b with applications in string theory / $c Philipp Fleig, Max-Planck-Institut für Dynamik und Selbstorganisation, Germany [and three others].
264 1 $a Cambridge : $b Cambridge University Press, $c 2018.
300 $a 1 online resource (xviii, 567 pages) : $b digital, PDF file(s).
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490 1 $a Cambridge studies in advanced mathematics ; $v 176
500 $a Title from publisher's bibliographic system (viewed on 04 Jul 2018).
520 $a This introduction to automorphic forms on adelic groups G(A) emphasises the role of representation theory. The exposition is driven by examples, and collects and extends many results scattered throughout the literature, in particular the Langlands constant term formula for Eisenstein series on G(A) as well as the Casselman-Shalika formula for the p-adic spherical Whittaker function. This book also covers more advanced topics such as spherical Hecke algebras and automorphic L-functions. Many of these mathematical results have natural interpretations in string theory, and so some basic concepts of string theory are introduced with an emphasis on connections with automorphic forms. Throughout the book special attention is paid to small automorphic representations, which are of particular importance in string theory but are also of independent mathematical interest. Numerous open questions and conjectures, partially motivated by physics, are included to prompt the reader's own research.
650 0 $a Eisenstein series. $3 676248
650 0 $a Automorphic functions. $3 676217
650 0 $a String models. $3 580067
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830 0 $a Cambridge studies in advanced mathematics ; $v 134. $3 1133579
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