國立虎尾科技大學 |

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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Eisenstein series and automorphic representations :/ Philipp Fleig, Max-Planck-Institut für Dynamik und Selbstorganisation, Germany [and three others].
其他題名:	with applications in string theory /
作者:	Fleig, Philipp,
面頁冊數:	1 online resource (xviii, 567 pages) :digital, PDF file(s). :
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 (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 /
LDR:02139nam a22002898i 4500 001 1125834
003 UkCbUP
005 20180705134651.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2018||||enk o ||1 0|eng|d
020 $a 9781316995860 (ebook)
020 $z 9781107189928 (hardback)
035 $a CR9781316995860
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA353.A9 $b E47 2018
082 0 0 $a 512.7/3 $2 23
100 1 $a Fleig, Philipp, $e author. $3 1444286
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).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
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
776 0 8 $i Print version: $z 9781107189928
830 0 $a Cambridge studies in advanced mathematics ; $v 134. $3 1133579
856 4 0 $u https://doi.org/10.1017/9781316995860