3 papers
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) Ï_{-r_1}(n_…
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.NT2025
The interaction as a Poincaré series, and a related shifted convolution sum
Kim Klinger-Logan, Stephen D. Miller, Danylo Radchenko
We complete the program, initiated in a 2015 paper of Green, Miller, and Vanhove, of directly constructing the automorphic solution to the string theory differential equa…