Catherine Cossaboom

activity

20222026

collaborators

5 papers

math.NT2026

Zero density estimates for $GL_{2}$ automorphic $L$ -functions

Catherine Cossaboom

We prove zero density estimates for $L$ -functions of cuspidal automorphic representations $π$ of $GL_{2} (A_{Q})$ . We show that $N_π(σ, T) \ll T^{\frac{5}{2…

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.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…

Zero density estimates for GL2​ automorphic L-functions

Overpartitions with parts separated by parity

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

Patterns of primes in joint Sato--Tate distributions

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

Zero density estimates for $GL_{2}$ automorphic $L$ -functions