Jad Hamdan

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20242026

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math.NT2026

Low moments of Hecke eigenvalue sums

Jad Hamdan, Sun-Kai Leung, Mo Dick Wong

We show that partial sums of the Sato--Tate random multiplicative functions introduced by Cogdell and Michel exhibit better-than-square-root cancellation. The proof proceeds via a…

math.NT2026

Partial sums of random multiplicative functions with supercritical divisor twists

Jad Hamdan

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