C. Kwan

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math.NT2025

On the moments of one-level densities in families of holomorphic cusp forms in the level aspect

Peter Cohen, Justine Dell, Oscar E. GonzÃ¡lez +10

We study the $n^{th}$ centered moments of the $1$ -level density for the low-lying zeros of $L$ -functions attached to holomorphic cuspidal newforms of large prime level and fixe…

math.NT2024

On the Within-perfect Numbers

Chung-Hang Kwan, Steven J. Miller

Motivated by the works of ErdÃ¶s, Pomerance, Wolke and Harman on the sum-of-divisor function $I ¨ (n)$ , we study the distribution of a special class of natural numbers closely relate…

math.NT2024

Spectral Moment Formulae for $G L (3) \times G L (2)$ $L$ -functions III: The Twisted Case

Chung-Hang Kwan

This is a sequel to our previous articles \cite{Kw23, Kw23a+}. In this work, we apply recent techniques that fall under the banner of `Period Reciprocity' to study moments of $GL(3…

On the moments of one-level densities in families of holomorphic cusp forms in the level aspect

On the Within-perfect Numbers

Spectral Moment Formulae for GL(3)×GL(2) L-functions III: The Twisted Case

Spectral Moment Formulae for $G L (3) \times G L (2)$ $L$ -functions III: The Twisted Case