Simultaneous extreme values of zeta and L-functions

2023/06/13 by Heap, Winston, Li, Junxian · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2306.07777

Abstract

We show that distinct primitive L-functions can achieve extreme values simultaneously on the critical line. Our proof uses a modification of the resonance method and can be applied to establish simultaneous extreme central values of L-functions in families.

Cited by

• On Hypothesis H of Rudnick and Sarnak

Related

• Extreme values of zeta and L-functions
• Extreme values of the Dirichlet L-functions at the critical points of the Riemann zeta function
• Explicit Upper Bounds for L-functions on the critical line
• Large values of Dirichlet L- functions inside the critical strip
• Extreme values of the Riemann zeta function at its critical points in the critical strip