On the value-distribution of symmetric power L-functions

17 Aug 2018  ·  Matsumoto Kohji, Umegaki Yumiko ·

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. read more

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Number Theory