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

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

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-...

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1. Verfasser: Xiao, Xuanxuan
Format: Artikel
Sprache:eng
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Mathematics - Number Theory
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Zusammenfassung: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.
DOI:10.48550/arxiv.1508.00111