Hirano, M., Kurokawa, N. and Wakayama, M. (2003) Half Zeta Functions. Journal of the Ramanujan Mathematical Society, 18, 195-209.

has been cited by the following article:

• TITLE: Euler Product Expressions of Absolute Tensor Products of Dirichlet L-Functions

  AUTHORS: Hidenori Tanaka, Shin-ya Koyama

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

  JOURNAL NAME: Advances in Pure Mathematics, Vol.14 No.6, June 19, 2024

  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.