2 citations · 2 across the 3 of their papers we have counts for
5 papers
Atkin--Lehner Quotients of Modular Curves at Primes of Bad Reduction
Lea Beneish, Boya Wen
Let be a square-free, positive integer and let be a prime dividing . In this work, we construct semistable models of Atkin--Lehner quotients of over the Wi…
Hook length biases and general linear partition inequalities
Cristina Ballantine, Hannah Burson, William Craig +2
Motivated in part by hook-content formulas for certain restricted partitions in representation theory, we consider the total number of hooks of fixed length in odd versus distinct…
Mock theta functions and related combinatorics
Cristina Ballantine, Hannah E. Burson, Amanda Folsom +3
In this paper we add to the literature on the combinatorial nature of the mock theta functions, a collection of curious -hypergeometric series introduced by Ramanujan in his las…
On a Partition Identity of Lehmer
Cristina Ballantine, Hannah E. Burson, Amanda Folsom +3
Euler's identity equates the number of partitions of any non-negative integer n into odd parts and the number of partitions of n into distinct parts. Beck conjectured and Andrews p…
Quadratic Chabauty for Atkin-Lehner Quotients of Modular Curves of Prime Level and Genus 4, 5, 6
Nikola Adžaga, Vishal Arul, Lea Beneish +4
We use the method of quadratic Chabauty on the quotients of modular curves by their Fricke involutions to provably compute all the rational points of these curv…