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Eisenstein Series and Automorphic Representations on Hardback by Philipp Fleig
Eisenstein Series and Automorphic Representations on Hardback by Philipp Fleig
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Eisenstein Series and Automorphic Representations

With Applications in String Theory
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Description

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.

Author Biography:

Philipp Fleig is a Postdoctoral Researcher at the Max-Planck-Institut für Dynamik und Selbstorganisation, Germany. Henrik P. A. Gustafsson is a Postdoctoral Researcher in the Department of Mathematics at Stanford University, California. Axel Kleinschmidt is a Senior Scientist at the Max-Planck-Institut für Gravitationsphysik, Germany (Albert Einstein Institute) and at the International Solvay Institutes, Brussels. Daniel Persson is an Associate Professor in the Department of Mathematical Sciences at Chalmers University of Technology, Gothenburg.
Release date NZ
July 5th, 2018
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises; 3 Halftones, black and white; 17 Line drawings, black and white
Pages
584
Dimensions
157x235x38
ISBN-13
9781107189928
Product ID
27533261

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