Catherine Cossaboom

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20232025

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math.NT2025

Overpartitions with parts separated by parity

Kathrin Bringmann, Catherine Cossaboom, William Craig

In this paper, we generalize Andrews' partitions separated by parity to overpartitions in two ways. We investigate the generating functions for 16 overpartition families whose part…

math.NT2023

Patterns of primes in joint Sato--Tate distributions

A. Anas Chentouf, Catherine Cossaboom, Samuel Goldberg +1

For $j = 1, 2$ , let $f_{j} (z) = \sum_{n = 1}^{\infty} a_{j} (n) e^{2 π in z}$ be a holomorphic, non-CM cuspidal newform of even weight $k_{j} \geq 2$ with trivial nebentypus. For each prime $p$ …