On the multiplicity of zeros of the zeta-function

Aleksandar Ivić

On the multiplicity of zeros of the zeta-function

Number Theory 2007-05-23 v1

Authors: Aleksandar Ivić

Abstract

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

Keywords

riemann zeta-function zeros multiplicity upper bounds zero-density

Cite

@article{arxiv.math/0501434,
  title  = {On the multiplicity of zeros of the zeta-function},
  author = {Aleksandar Ivić},
  journal= {arXiv preprint arXiv:math/0501434},
  year   = {2007}
}

Comments

11 pages

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