%0 Journal Article
%T Euler Product Expressions of Absolute Tensor Products of Dirichlet <i>L</i>-Functions
%A Hidenori Tanaka
%A Shin-ya Koyama
%J Advances in Pure Mathematics
%P 451-486
%@ 2160-0384
%D 2024
%I Scientific Research Publishing
%R 10.4236/apm.2024.146026
%X In this paper, we calculate the absolute tensor square of the Dirichlet <i>L</i>-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 <i>L</i>-functions. This study is a generalization of Akatsuka&#8217;s theorem on the Riemann zeta function, and gives a proof of Kurokawa&#8217;s prediction proposed in 1992.
%K Dirichlet <i>L</i>-Function
%K Absolute Tensor Product (Kurokawa Tensor Product)
%K Euler Product
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=133889