On the distribution of imaginary parts of zeros of the Riemann zeta function, II

Kevin Ford, K. Soundararajan, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

We continue our investigation of the distribution of the fractional parts of αγ, where α is a fixed non-zero real number and γ runs over the imaginary parts of the non-trivial zeros of the Riemann zeta function. We establish some connections to Montgomery's pair correlation function and the distribution of primes in short intervals. We also discuss analogous results for a more general L-function.

Original languageEnglish (US)
Pages (from-to)487-505
Number of pages19
JournalMathematische Annalen
Volume343
Issue number3
DOIs
StatePublished - Mar 2009

ASJC Scopus subject areas

  • Mathematics(all)

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