Fourth moment of the Riemann zeta-function with a shift along the real line

Shun Shimomura

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

For the Riemann zeta-function we consider the fourth moment whose square part admits a shift along the real line. Asymptotic formulas are obtained for the shift parameter around 0 and for the one in unbounded regions.

Original languageEnglish
Pages (from-to)355-377
Number of pages23
JournalTokyo Journal of Mathematics
Volume36
Issue number2
DOIs
Publication statusPublished - 2013 Dec 1

Keywords

  • Fourth moment
  • Riemann zeta-function

ASJC Scopus subject areas

  • Mathematics(all)

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