4 citations · 8 across the 4 of their papers we have counts for
6 papers
On the Within-perfect Numbers
Chung-Hang Kwan, Steven J. Miller
Motivated by the works of Erdös, Pomerance, Wolke and Harman on the sum-of-divisor function , we study the distribution of a special class of natural numbers closely related…
Spectral Moment Formulae for -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
Peter Cohen, Justine Dell, Oscar E. González +10
We study the centered moments of the -level density for the low-lying zeros of -functions attached to holomorphic cuspidal newforms of large prime level and fixe…
Spectral Moment Formulae for -functions I: The Cuspidal Case
Chung-Hang Kwan
Spectral moment formulae of various shapes have proven to be very successful in studying the statistics of central -values. In this article, we establish, in a completely explic…
On Near Perfect Numbers
Peter Cohen, Katherine Cordwell, Alyssa Epstein +3
The study of perfect numbers (numbers which equal the sum of their proper divisors) goes back to antiquity, and is responsible for some of the oldest and most popular conjectures i…
On smoothing singularities of elliptic orbital integrals on GL(n) and Beyond Endoscopy
Oscar E. González, Chung Hang Kwan, Steven J. Miller +2
Recent work of Altuğ continues the preliminary analysis of Langlands' Beyond Endoscopy proposal for by removing the contribution of the trivial representation to the trace…