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

Xuanxuan Xiao

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arXiv · 1508.00111

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

Xuanxuan Xiao

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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.

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Xuanxuan Xiao. 2015-08-01. Distribution of Values of Symmetric power L-functions at the Edge of the Critical Strip. https://arxiv.org/abs/1508.00111

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