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arxiv: 1603.07436 · v1 · pith:WSIRPZHInew · submitted 2016-03-24 · 🧮 math.NT

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

classification 🧮 math.NT
keywords differencefunctionslogarithmspowersymmetricaveragescertainconsider
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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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