On the value-distribution of symmetric power L-functions.
@article{Matsumoto2018OnTV, title={On the value-distribution of symmetric power L-functions.}, author={Kohji Matsumoto and Yumiko Umegaki}, journal={arXiv: Number Theory}, year={2018} }
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.
4 Citations
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We consider the value distribution of logarithms of symmetric square L -functions associated with newforms of even weight and prime power level at s = σ > 1 / 2. We prove that certain averages of…
On the theory of $M$-functions.
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We survey the value-distribution theory of zeta and $L$-functions, originated by H. Bohr, and developed further by Y. Ihara and others recently.
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