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math.NT2025
Convolution identities for complex-indexed divisor functions and modular graph functions
Ksenia Fedosova, Kim Klinger-Logan
We find exact identities for sums of the form \begin{equation*}\label{eq:convsumabs} \sum_{\stackrel{n_1+n_2 = n}{n_1 \in \mathbb{Z} \setminus \{ 0, n \} }} Q(n_1,n_2) σ_{-r_1}(n_1…
math.NT2025
A Dedekind-Rademacher cocycle for Bianchi groups
Kim Klinger-Logan, Kalani Thalagoda, Tian An Wong
We construct a generalization of the Dedekind-Rademacher cocycle to congruence subgroups of , and derive some of its basic properties. In particular, we s…
math.NT2022
Whittaker Fourier type solutions to differential equations arising from string theory
Ksenia Fedosova, Kim Klinger-Logan
In this article, we find the full Fourier expansion for the generalized non-holomorphic Eisenstein series for certain values of parameters. We give a connection of the boundary con…