Article ID Journal Published Year Pages File Type
4595341 Journal of Number Theory 2007 9 Pages PDF
Abstract

We generalise Li's criterion, already known for the Riemann zeta function, to a large class of Dirichlet series. We give first an explicit formula for the coefficients , for all positive integers n and ρ runs over all the non-trivial zeros of a function F in this class. To do so, we use the Weil Explicit Formula.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory