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On the multiplicity of zeros of the zeta-function

Aleksandar Ivić

math.NTarXiv:math/0501434

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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