arXiv Analytics

Sign in

arXiv:1410.7036 [math.NT]AbstractReferencesReviewsResources

Yet another representation for the sum of reciprocals of the nontrivial zeros of the Riemann zeta-function

Yuri Matiyasevich

Published 2014-10-26Version 1

The positivity of the sum from the title is the first condition in the well-known criterium for the validity of the Riemann Hypothesis suggested by X.-J. Li. In the paper this value is represented as an infinite sum with positive summands.

Comments: Submitted to "Mathematical Notes" (Moscow, Russia)
Categories: math.NT
Subjects: 11M26
Related articles: Most relevant | Search more
arXiv:2009.05251 [math.NT] (Published 2020-09-11)
A harmonic sum over nontrivial zeros of the Riemann zeta-function
arXiv:2007.10533 [math.NT] (Published 2020-07-21)
On The Logarithm of the Riemann zeta-function Near the Nontrivial Zeros
arXiv:2009.13791 [math.NT] (Published 2020-09-29)
Accurate estimation of sums over zeros of the Riemann zeta-function