Alladi Ramakrishnan Hall

Large Oscillations of the Argument of the Riemann Zeta-function

Kamalakshya Mahatab

NTNU

Let S(t) be the argument of the Riemann zeta function on the critical line. This function plays an important role to estimate the number of zeros of Rimann zeta function in the critical strip up to a height t. In this talk we will we will estimate large positive and negative values of S(t) using the resonance method.