Ksenia Fedosova

collaborators

2 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

Spectral and dynamical invariants of Hecke triangle groups via transfer operators

Ksenia Fedosova

In this paper, we consider Hecke triangle groups $I^_{w}$ for $w > 2$ and associated infinite-volume orbifolds $I^_{w} \ H$ . We show that the Selberg zeta function $Z_{…