Shifted moments of l-functions and moments of theta functions

Marc Munsch*

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

Assuming the Riemann Hypothesis, Soundararajan [Ann. of Math.a (2) 170 (2009), 981-993] showed that fT0 ℓ.1=2 C it/ T .log T /κk2+€ His method was used by Chandee [Q.A J. Math. 62 (2011), 545-572] to obtain upper bounds for shifted moments of the Riemann Zeta function. Building on these ideas of Chandee and Soundararajan, we obtain, conditionally, upper bounds for shifted moments of Dirichlet-functions which allow us to derive upper bounds for moments of theta functions.

Original languageEnglish
Pages (from-to)196-212
Number of pages17
JournalMathematika
Volume63
Issue number1
DOIs
Publication statusPublished - 1 Jan 2017

ASJC Scopus subject areas

  • Mathematics(all)

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