Kim Klinger-Logan

activity

20172025

most citedDifferential equations in automorphic forms

2 citations · 3 across the 10 of their papers we have counts for

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math.NT2023

Convolution identities for divisor sums and modular forms

Ksenia Fedosova, Kim Klinger-Logan, Danylo Radchenko

We prove exact identities for convolution sums of divisor functions of the form $\sum_{n_{1} \in Z ∖ {0, n}} φ (n_{1}, n - n_{1}) σ_{2 m_{1}} (n_{1}) σ_{2 m_{2}} (n - n_{1})$ where $φ(…

math.NT2023

Shifted convolution sums motivated by string theory

Kim Klinger-Logan, Ksenia Fedosova

In \cite{CGPWW2021}, it was conjectured that a particular shifted sum of even divisor sums vanishes, and in \cite{SDK}, a formal argument was given for this vanishing. Shifted conv…