Natural boundaries and integral moments of L-functions

Adrian Diaconu; Paul Garrett; Dorian Goldfeld

doi:10.1007/978-0-8176-8334-4_7

Natural boundaries and integral moments of L-functions

Adrian Diaconu
, Paul Garrett
, Dorian Goldfeld

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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 language	English (US)
Title of host publication	Multiple Dirichlet Series, L-functions and Automorphic Forms
Publisher	Birkhauser Boston
Pages	147-172
Number of pages	26
ISBN (Electronic)	9780817683344
ISBN (Print)	9780817683337
DOIs	https://doi.org/10.1007/978-0-8176-8334-4_7
State	Published - Jan 1 2012

Bibliographical note

Publisher Copyright:
© 2012 Springer Science+Business Media, LLC. All rights reserved.

Keywords

Eisenstein series
GL(3)
Good's method
Integral moments of L-functions
Multiple dirichlet series

Publisher link

10.1007/978-0-8176-8334-4_7

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AU - Goldfeld, Dorian

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AB - 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.

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KW - GL(3)

KW - Good's method

KW - Integral moments of L-functions

KW - Multiple dirichlet series

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UR - https://www.scopus.com/pages/publications/85026247576#tab=citedBy

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EP - 172

BT - Multiple Dirichlet Series, L-functions and Automorphic Forms

PB - Birkhauser Boston

ER -

Natural boundaries and integral moments of L-functions

Abstract

Bibliographical note

Keywords

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