Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595478 | Journal of Number Theory | 2008 | 48 Pages |
Abstract
We show that the generalized Riemann hypothesis implies that there are infinitely many consecutive zeros of the zeta function whose spacing is three times larger than the average spacing. This is deduced from the calculation of the second moment of the Riemann zeta function multiplied by a Dirichlet polynomial averaged over the zeros of the zeta function.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory