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arXiv · 2008.07752

The Euler Product expressions of the absolute tensor products of the Dirichlet $L$-functions

Hidenori Tanaka
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Abstract

In this paper, we calculate the absolute tensor square of the Dirichlet $L$-functions and show that it is expressed as an Euler product over pairs of primes. The method is to construct an equation to link primes to a series which has the factors of the absolute tensor product of the Dirichlet $ L $-functions. This study is a generalization of Akatsuka's theorem on the Riemann zeta function, and gives a proof of Kurokawa's prediction proposed in 1992.

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Hidenori Tanaka. 2020-08-18. The Euler Product expressions of the absolute tensor products of the Dirichlet $L$-functions. https://arxiv.org/abs/2008.07752

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