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

Abstract

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.

arXiv commentSubmitted to "Mathematical Notes" (Moscow, Russia)