000 02377nam a22003618i 4500
001 CR9781316995860
003 UkCbUP
005 20200124160339.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 160725s2018||||enk o ||1 0|eng|d
020 _a9781316995860 (ebook)
020 _z9781107189928 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA353.A9
_bE47 2018
082 0 0 _a512.7/3
_223
100 1 _aFleig, Philipp,
_eauthor.
245 1 0 _aEisenstein series and automorphic representations :
_bwith applications in string theory /
_cPhilipp Fleig, Max-Planck-Institut für Dynamik und Selbstorganisation, Germany [and three others].
264 1 _aCambridge :
_bCambridge University Press,
_c2018.
300 _a1 online resource (xviii, 567 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v176
500 _aTitle from publisher's bibliographic system (viewed on 04 Jul 2018).
520 _aThis 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 _aEisenstein series.
650 0 _aAutomorphic functions.
650 0 _aString models.
776 0 8 _iPrint version:
_z9781107189928
830 0 _aCambridge studies in advanced mathematics ;
_v176.
856 4 0 _uhttps://doi.org/10.1017/9781316995860
999 _c523352
_d523350