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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2011 Volume 89, Issue 5, Pages 652–657 (Mi mzm8684)
This article is cited in 1 paper

On the Zeros of the Riemann Zeta Function of Large Multiplicity

R. N. Boyarinov

M. V. Lomonosov Moscow State University

Abstract: We obtain a new upper bound for the number of zeros of the Riemann zeta function of a given multiplicity lying in a given rectangle of the critical strip.

Keywords: Riemann zeta function, zeros of the Riemann zeta function, Fujii's inequality, Lagrange's mean-value theorem.

UDC: 511

Received: 17.02.2010

DOI: 10.4213/mzm8684


 English version: Mathematical Notes, 2011, 89:5, 613–618

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© Steklov Math. Inst. of RAS, 2026