The fourth moment of Dirichlet $L$-functions

Pages 1-50 from Volume 173 (2011), Issue 1 by Matthew P. Young

Abstract

We compute the fourth moment of Dirichlet $L$-functions at the central point for prime moduli, with a power savings in the error term.

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Keywords
, , , , ,
Mathematical Subject Classification
Primary: Secondary: ,
DOI
http://doi.org/10.4007/annals.2011.173.1.1
MR
2753598
zbMATH
05960654
Milestones
Received: 22 September 2006
Accepted: 6 April 2010
Published online: 4 January 2011

Authors

Matthew P. Young

American Institute of Mathematics
Palo Alto, CA

Current address:

Texas A&M University
College Station, TX 77843-3368