Simple zeros of modular L-functions

Abstract

Assuming the generalized Riemann hypothesis, we prove quantitative estimates for the number of simple zeros on the critical line for the L-functions attached to classical holomorphic newforms.

46 pages

References in corpus (1)

• On simple zeros of the Riemann zeta-function

Cited by in corpus (4)

• An upper bound for discrete moments of the derivative of the Riemann zeta-function
• Quantitative estimates for simple zeros of L-functions
• Gaps between zeros of GL(2) $L$-functions
• Multiplicity of nontrivial zeros of primitive L-functions via higher-level correlations