Landau-Siegel zeros and zeros of the derivative of the Riemann zeta function

David W. Farmer, Haseo Ki

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We show that if the derivative of the Riemann zeta function has sufficiently many zeros close to the critical line, then the zeta function has many closely spaced zeros. This gives a condition on the zeros of the derivative of the zeta function which implies a lower bound of the class numbers of imaginary quadratic fields.

Original languageEnglish
Pages (from-to)2048-2064
Number of pages17
JournalAdvances in Mathematics
Volume230
Issue number4-6
DOIs
Publication statusPublished - 2012 Jul

Bibliographical note

Funding Information:
Haseo Ki was supported by Mid-career Researcher Program through NRF grant funded by the MEST 2010-0008706 .

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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