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arXiv:1808.05749 [math.NT]AbstractReferencesReviewsResources

On the value-distribution of symmetric power L-functions

Kohji Matsumoto, Yumiko Umegaki

Published 2018-08-17Version 1

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.

Comments: 20pages
Categories: math.NT
Subjects: 11F66, 11M41
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