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 generalise and/or improve related results of Royer-Wu, Cogdell-Michel, Lau-Wu and Liu-Royer-Wu.
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https://hal.archives-ouvertes.fr/hal-01282682
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Submitted on : Friday, March 4, 2016 - 10:46:17 AM
Last modification on : Wednesday, October 10, 2018 - 1:21:38 PM
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Xuanxuan Xiao. Distribution of values of symmetric power L-functions at the edge of the critical strip. 2016. ⟨hal-01282682⟩

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