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On the multiplicity of zeros of the zeta-function

Aleksandar Ivić
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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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Aleksandar Ivić. 2005-01-25. On the multiplicity of zeros of the zeta-function. https://arxiv.org/abs/math/0501434

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