On the multiplicity of zeros of the zeta-function

2005/01/25 by Aleksandar Ivić
Mathematics · #math.NT #msc:11M06

paper · pdf

published as Académie Serbe des Sciences et des Arts 1999, Bulletin CXVIII, Sciences mathématiques, No. 24, pp. 119-132 · 11 pages

arxiv created 2005/01/25 · arxiv updated 2009/12/01

Abstract

Several results are obtained concerning multiplicities of zeros of the Riemann zeta-function ζ(s). They include upper bounds for multiplicities, showing that zeros with large multiplicities have to lie to the left of the line σ= 1. A zero-density counting function involving multiplicities is also discussed.

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