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.
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