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arXiv · 1603.07436

On the value-distribution of the difference between logarithms of two symmetric power $L$-functions

Kohji Matsumoto·Yumiko Umegaki
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Abstract

We consider the value distribution of the difference between logarithms of two symmetric power $L$-functions at $s=\sigma > 1/2$. We prove that certain averages of those values can be written as integrals involving a density function which is constructed explicitly.

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Kohji Matsumoto, Yumiko Umegaki. 2016-03-24. On the value-distribution of the difference between logarithms of two symmetric power $L$-functions. https://arxiv.org/abs/1603.07436

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