On the multiplicity of zeros of the zeta-function

Details On the multiplicity of zeros of the zeta-function On the multiplicity of zeros of the zeta-function

2005-01-25

arxiv.org/abs/math/0501434v1

Acad\'emie Serbe des Sciences et des Arts 1999, Bulletin CXVIII, Sciences math\'ematiques, No. 24, pp. 119-132

Mathematics

Number Theory

11 pages

Scientific paper

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.

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