On the multiplicity of zeros of the zeta-function

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.

11 pages

Cited by in corpus (3)

• On the zeta function on the line Re(s) = 1
• The prime number race and zeros of Dirichlet $L$-functions off the critical line. III
• On the Balasubramanian-Ramachandra method close to Re(s)=1