Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595341 | Journal of Number Theory | 2007 | 9 Pages |
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