Vaishavi Sharma

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20202024

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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.NT2021

Solving Quadratic and Cubic Diophantine Equations using 2-adic Valuation Trees

Maila Brucal-Hallare, Eva G. Goedhart, Ryan Max Riley +2

For fixed integers $D \geq 0$ and $c \geq 3$ , we demonstrate how to use $2$ -adic valuation trees of sequences to analyze Diophantine equations of the form $x^{2} + D = 2^{c} y$ and $x^3+D=2…

math.NT2020

Arithmetic properties of the sum of divisors

Tewodros Amdeberhan, Victor H. Moll, Vaishavi Sharma +1

The divisor function $σ (n)$ denotes the sum of the divisors of the positive integer $n$ . For a prime $p$ and $m \in N$ , the $p$ -adic valuation of $m$ is the highest power…