Olivia Beckwith

activity

20142023

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6 papers · 1 filter

math.NT2025

Summation formulas for Hurwitz class numbers and other mock modular coefficients

Olivia Beckwith, Nikolaos Diamantis, Rajat Gupta +2

We prove a formula for weighted sums of the first $n$ coefficients of mock modular forms of moderate growth and apply it to Hurwitz class numbers and coefficients of negative half…

math.NT2024

A modular framework for generalized Hurwitz class numbers II

Olivia Beckwith, Andreas Mono

In a recent preprint, we constructed a sesquiharmonic Maass form $G$ of weight $\frac{1}{2}$ and level $4 N$ with $N$ odd and squarefree. Extending seminal work by Duke, I…

math.NT2024

Holomorphic projection for sesquiharmonic Maass forms

Michael Allen, Olivia Beckwith, Vaishavi Sharma

We study the holomorphic projection of mixed mock modular forms involving sesquiharmonic Maass forms. As a special case, we numerically express the holomorphic projection of a func…

math.NT2023

Imaginary quadratic fields with $ℓ$ -torsion-free class groups and specified split primes

Olivia Beckwith, Martin Raum, Olav Richter

Given an odd prime $ℓ$ and finite set of odd primes $S_{+}$ , we prove the existence of an imaginary quadratic field whose class number is indivisible by $ℓ$ and which splits at…

math.NT2016

Asymptotic bounds for special values of shifted convolution Dirichlet series

Olivia Beckwith

Hoffstein and Hulse defined the shifted convolution series of two cusp forms by "shifting" the usual Rankin-Selberg convolution L-series by a parameter h. We use the theory of harm…

math.NT2014

Multiplicative properties of the number of $k$ -regular partitions

Olivia Beckwith, Christine Bessenrodt

In a previous paper of the second author with K. Ono, surprising multiplicative properties of the partition function were presented. Here, we deal with $k$ -regular partitions. Exte…