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Eisenstein series and automorphic representationswith applications in string theory /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Eisenstein series and automorphic representationsPhilipp Fleig ... [et al.].
其他題名:	with applications in string theory /
作者:	Fleig, Philipp.
出版者:	Cambridge :Cambridge University Press,2018.
面頁冊數:	xviii, 567 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 04 Jul 2018).
標題:	Eisenstein series.
電子資源:	https://doi.org/10.1017/9781316995860
ISBN:	9781316995860$q(electronic bk.)

Eisenstein series and automorphic representationswith applications in string theory /
Fleig, Philipp.

Eisenstein series and automorphic representationswith applications in string theory /[electronic resource] :Philipp Fleig ... [et al.]. - Cambridge :Cambridge University Press,2018. - xviii, 567 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;176. - Cambridge studies in advanced mathematics ;105..

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$q(electronic bk.)Subjects--Topical Terms:

275727
Eisenstein series.

LC Class. No.: QA353.A9

Dewey Class. No.: 512.73

Eisenstein series and automorphic representationswith applications in string theory /
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245 0 0 $a Eisenstein series and automorphic representations $h [electronic resource] : $b with applications in string theory / $c Philipp Fleig ... [et al.].
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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.
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