On the value-distribution of symmetric power L-functions

Kohji Matsumoto; Yumiko Umegaki

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arXiv · 1808.05749

On the value-distribution of symmetric power L-functions

Kohji Matsumoto·Yumiko Umegaki

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Abstract

We first briefly survey the value-distribution theory of L-functions of the Bohr-Jessen flavor (or the theory of "M-functions"). Limit formulas for the Riemann zeta-function, Dirichlet L-functions, automorphic L-functions etc. are discussed. Then we prove new results on the value-distribution of symmetric power L-functions, which are limit formulas involving associated M-functions.

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Kohji Matsumoto, Yumiko Umegaki. 2018-08-17. On the value-distribution of symmetric power L-functions. https://arxiv.org/abs/1808.05749

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