Author(s)

Hidenori Tanaka¹, Shin-ya Koyama^2*

¹Department of Biomedical Engineering, Toyo University, Saitama, Japan.
²Department of Mechanical Engineering, Toyo University, Saitama, Japan.

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.

Dirichlet L-Function, Absolute Tensor Product (Kurokawa Tensor Product), Euler Product

Tanaka, H. and Koyama, S. (2024) Euler Product Expressions of Absolute Tensor Products of Dirichlet L-Functions. Advances in Pure Mathematics, 14, 451-486. doi: 10.4236/apm.2024.146026.