Jad Hamdan

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math.NT2026

The Fyodorov--Hiary--Keating Conjecture on Mesoscopic Intervals

Louis-Pierre Arguin, Jad Hamdan

We derive precise upper bounds for the maximum of the Riemann zeta function on a typical short interval of the critical line. We show that for fixed $I^¸ \in (- 1, 0]$ , large $T$ , and $…

math.NT2026

Partial sums of random multiplicative functions with supercritical divisor twists

Jad Hamdan

Let $f$ be a Steinhaus random multiplicative function, and for $I^\pm \in R$ , let $d_{I^} \pm$ denote the $I^\pm$ -divisor function. For $I^\pm \in (1, 2)$ we establish that $$ \mathbb{E}\bi…