Catherine Cossaboom

activity

20222024

collaborators

3 papers

math.CO2024

Hook length biases for self-conjugate partitions and partitions with distinct odd parts

Catherine Cossaboom

We establish a hook length bias between self-conjugate partitions and partitions of distinct odd parts, demonstrating that there are more hooks of fixed length $t \geq 2$ among sel…

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 $p$ …

math.NT2022

Hecke nilpotency for modular forms mod 2 and an application to partition numbers

Catherine Cossaboom, Sharon Zhou

A well-known observation of Serre and Tate is that the Hecke algebra acts locally nilpotently on modular forms mod 2 on $SL_{2} (Z)$ . We give an algorithm for calcul…