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arXiv:1603.07436 [math.NT]AbstractReferencesReviewsResources

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

Kohji Matsumoto, Yumiko Umegaki

Published 2016-03-24Version 1

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.

Comments: 36 pages
Categories: math.NT
Subjects: 11F66, 11M41
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