Let q be a sufficiently large integer and X be a Dirichlet character modulo q. In this paper, we extend the product x(-1)=-1 L(1, X) with prime q, arising from the Kummer conjecture, to the products of some genera...Let q be a sufficiently large integer and X be a Dirichlet character modulo q. In this paper, we extend the product x(-1)=-1 L(1, X) with prime q, arising from the Kummer conjecture, to the products of some general Dirichlet series, and give some meaningful estimates for them.展开更多
基金Supported by National Natural Science Foundation of China(Grant No.10601039)
文摘Let q be a sufficiently large integer and X be a Dirichlet character modulo q. In this paper, we extend the product x(-1)=-1 L(1, X) with prime q, arising from the Kummer conjecture, to the products of some general Dirichlet series, and give some meaningful estimates for them.