Distribution of Values of Symmetric power L-functions at the Edge of the Critical Strip

Abstract

We study some problems on the distribution of values of symmetric power $L$-functions at $s=1$ in both aspects of level and weight: bounds of these values, extreme values, Montgomery-Vaughan's conjecture and distribution functions. Our results generalize and/or improve related results of Royer-Wu, Cogdell-Michel, Lau-Wu and Liu-Royer-Wu.

References in corpus (1)

• Distribution of values of $L$-functions at the edge of the critical strip