arXiv Analytics

Sign in

arXiv:1811.04399 [math.NT]AbstractReferencesReviewsResources

On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis

Kirill Kovalenko, Nikita Derevyanko

Published 2018-11-11Version 1

The purpose of the present paper is to provide a general overview of a variety of results related to a category of cotangent sums which have been proven to be associated to the so-called Nyman-Beurling criterion for the Riemann Hypothesis. These sums are also related to the Estermann Zeta function.

Comments: Preprint version
Categories: math.NT
Related articles: Most relevant | Search more
arXiv:math/0202141 [math.NT] (Published 2002-02-15, updated 2002-02-18)
A strengthening of the Nyman-Beurling criterion for the Riemann Hypothesis
arXiv:math/0205003 [math.NT] (Published 2002-05-01)
A strengthening of the Nyman-Beurling criterion for the Riemann hypothesis, 2
arXiv:1211.5191 [math.NT] (Published 2012-11-22)
An optimal choice of Dirichlet polynomials for the Nyman-Beurling criterion

Links

Toolbox