Races with imaginary parts of zeros of the Riemann zeta function and Dirichlet L-functions

Research output: Contribution to journalArticle

Abstract

In this paper, we introduce a new type of race. We consider two Dirichlet L-functions L(s,χ1),L(s,χ2), an α∈Rn, a test function h defined on Tn and compare the sums ∑−T≤γ1≤Th(γ1α) and ∑−T≤γ2≤Th(γ2α) for all large T.

Original languageEnglish (US)
Article number124591
JournalJournal of Mathematical Analysis and Applications
Volume494
Issue number1
DOIs
StatePublished - Feb 1 2021

Keywords

  • Dirichlet L-functions: zeros
  • Fractional parts

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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