On the multiplicity of zeros of the zeta-function

Aleksandar Ivić

Published 2005-01-25Version 1

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.