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) |
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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 | |
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