G. Hiary

activity

20072026

most citedFreezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann Zeta-Function

156 citations · 177 across the 20 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.NT2023

Counting sign changes of partial sums of random multiplicative functions

Nick Geis, Ghaith Hiary

Let $f$ be a Rademacher random multiplicative function. Let $M_{f} (u) := n \leq u \sum f (n)$ be the partial sum of $f$ . Let $V_{f} (x)$ denote the number of sign changes of $M_{f} (u)$ u…

math.NT2023

Explicit bounds for the Riemann zeta-function on the 1-line

Ghaith A. Hiary, Nicol Leong, Andrew Yang

Explicit estimates for the Riemann zeta-function on the $1$ -line are derived using various methods, in particular van der Corput lemmas of high order and a theorem of Borel and Car…