A NOTE ON AN EQUIVALENT OF THE RIEMANN HYPOTHESIS

  • Shekhar . Suman Department of Mathematics, Ranchi University, Ranchi, Jharkhand, INDIA
  • Raman Kumar Das Department of Mathematics, St. Xavier’s College, Ranchi, Jharkhand, INDIA
Keywords: Riemann zeta function, Riemann xi function, Riemann Hypothesis, Hadamard product.

Abstract

In this manuscript we denote by P ρ a sum over the non trivial zeros of Riemann zeta function (or over the zeros of Riemann’s xi function), where the zeros of multiplicity k are counted k times. We prove a result that the Riemann Hypothesis is true if and only if
Published
2022-12-30