Natural boundaries and integral moments of L-functions

Adrian Diaconu, Paul Garrett, Dorian Goldfeld

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

It is shown, under some expected technical assumption, that a large class of multiple Dirichlet series which arise in the study of moments of L-functions have natural boundaries. As a remedy, we consider a new class of multiple Dirichlet series whose elements have nice properties: a functional equation and meromorphic continuation. This class suggests a notion of integral moments of L-functions.

Original languageEnglish (US)
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Pages147-172
Number of pages26
DOIs
StatePublished - Jan 1 2012

Publication series

NameProgress in Mathematics
Volume300
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

Keywords

  • Eisenstein series
  • GL(3)
  • Good’s method
  • Integral moments of L-functions
  • Multiple Dirichlet series

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