论文标题
L功能的禁止导体和特定形式的持续分数
Forbidden conductors of L-functions and continued fractions of particular form
论文作者
论文摘要
在本文中，我们通过一种新颖的技术研究了Extended Selberg类中2 $ l $ functions的导体$ q $的禁止值，将问题与某些持续分数和其重量$ W_Q $联系起来。我们的基本结果指出，如果存在$ l $的指挥$ q $，那么重量$ w_q $在适当的意义上是唯一的。由此，我们推断出理论和计算本质的几种结果。
In this paper we study the forbidden values of the conductor $q$ of the $L$-functions of degree 2 in the extended Selberg class by a novel technique, linking the problem to certain continued fractions and to their weight $w_q$. Our basic result states that if an $L$ function with conductor $q$ exists, then the weight $w_q$ is unique in a suitable sense. From this we deduce several results, both of theoretical and computational nature.
