论文标题
Dirichlet $ L $ functions的绝对张量产品的Euler产品表达式
The Euler Product expressions of the absolute tensor products of the Dirichlet $L$-functions
论文作者
论文摘要
在本文中，我们计算了dirichlet $ l $ functions的绝对张量平方，并表明它用成对的素数表示为欧拉产品。该方法是构建一个方程式，将素数链接到具有dirichlet $ l $ functions的绝对张量产品因素的系列。这项研究是对Riemann Zeta函数的Akatsuka定理的概括，并证明了Hokawa在1992年提出的预测。
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.
