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math.NT2022★ 1 cited
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…
math.NT2016
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…
math.NT2016
An Analytic Heuristic for Multiplicity Computation for Zaremba's Conjecture
Peter Cohen
Zaremba's Conjecture concerns the formation of continued fractions with partial quotients restricted to a given alphabet. In order to answer the numerous questions that arrive from…