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Eisenstein series and automorphic re...

Fleig, Philipp.

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Eisenstein series and automorphic representations/ Philipp Fleig, Max-Planck-Institut fur Dynamik und Selbstorganisation, Germany [and three others].
Reminder of title:	with applications in string theory /
Author:	Fleig, Philipp.
Published:	Cambridge :Cambridge University Press, : 2018.,
Description:	xviii, 567 p. :ill., digital ;24 cm.
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

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

Eisenstein series and automorphic representationswith applications in string theory /[electronic resource] :Philipp Fleig, Max-Planck-Institut fur Dynamik und Selbstorganisation, Germany [and three others]. - Cambridge :Cambridge University Press,2018. - xviii, 567 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;176. - Cambridge studies in advanced mathematics ;176..

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: 9781316995860Subjects--Topical Terms:

710239
Eisenstein series.

LC Class. No.: QA353.A9

Dewey Class. No.: 512.73

Eisenstein series and automorphic representations = with applications in string theory /
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100 1 $a Fleig, Philipp. $3 3470600
245 1 0 $a Eisenstein series and automorphic representations $h [electronic resource] : $b with applications in string theory / $c Philipp Fleig, Max-Planck-Institut fur Dynamik und Selbstorganisation, Germany [and three others].
260 $a Cambridge : $b Cambridge University Press, $c 2018.
300 $a xviii, 567 p. : $b ill., digital ; $c 24 cm.
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 710239
650 0 $a Automorphic functions. $3 576005
650 0 $a String models. $3 578805
830 0 $a Cambridge studies in advanced mathematics ; $v 176. $3 3470601
856 4 0 $u https://doi.org/10.1017/9781316995860