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Eisenstein series and automorphic representations[electronic resource] :with applications in string theory /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	512.73
書名/作者:	Eisenstein series and automorphic representations : with applications in string theory // Philipp Fleig ... [et al.].
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.
標題:	Automorphic functions.
標題:	String models.
ISBN:	9781316995860
ISBN:	9781107189928
摘要、提要註:	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.
電子資源:	https://doi.org/10.1017/9781316995860

Eisenstein series and automorphic representations[electronic resource] :with 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: 9781316995860Subjects--Topical Terms:

512409
Eisenstein series.

LC Class. No.: QA353.A9

Dewey Class. No.: 512.73

Eisenstein series and automorphic representations[electronic resource] :with applications in string theory /
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