Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594736 | Journal of Number Theory | 2010 | 4 Pages |
Abstract
The conjecture in question concerns the function ϕnϕn related to the distribution of the zeroes of the Riemann zeta-function, γnγn, over the Gram points gngn. It is the purpose of this article to show that for any α>0α>0 the sum∑n=1KϕnKα→0, and this was conjectured, on numerical evidence, by Shanks (1961) [7] to be true for α=12.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
T.S. Trudgian,