# Something between the conjectures of P\'{o}lya and Tur\'{a}n implies the Riemann hypothesis.

Algebra/Geometry/Topology Seminar

#### by Timothy Trudgian

Institution: Australian National University
Date: Wed 21st November 2012
Time: 11:00 AM
Location: 213 Richard Berry

Abstract: One could prove the Riemann hypothesis if one could show that some certain arithmetical sums are of a constant sign. Two such sums, studied by P\'{o}lya and Tur\'{a}n, are known not to be of a constant sign. Mike Mossinghoff and I looked at generalisations of these sums; in this talk I will give details of the sum most likely to be of constant sign.