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

2015/08/01 by Xiao, Xuanxuan
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1508.00111

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.

Related

• Special values of symmetric power L-functions and Hecke eigenvalues
• Statistics for low-lying zeros of symmetric power L-functions in the level aspect
• On the value-distribution of symmetric power L-functions
• On the distribution of extreme values of zeta and L-functions in the strip 1/2
• On the value-distribution of the logarithms of symmetric power L-functions in the level aspect