Hall 123

Large values of Hardy's Z function

Kamalakshya Mahatab

NTNU, Norway

The Hardy's function Z(t) is a unimodular twist of the Riemann Zeta function \zeta(1/2 + it) and is used to compute the zeros of Zeta on the critical line. In this talk, we will compute the large values of Z(t) and -Z(t). This computation uses resonance method. We will also discuss other possible generalizations of our theorem.