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arxiv: math/0501434 · v1 · submitted 2005-01-25 · 🧮 math.NT

On the multiplicity of zeros of the zeta-function

classification 🧮 math.NT
keywords multiplicitieszeroszeta-functionboundsconcerningcountingdiscussedfunction
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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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