6 citations · 14 across the 13 of their papers we have counts for
16 papers
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…
Spectral and dynamical invariants of Hecke triangle groups via transfer operators
Ksenia Fedosova
In this paper, we consider Hecke triangle groups for and associated infinite-volume orbifolds . We show that the Selberg zeta function $Z_{Γ_…
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 where $φ(…
Casimir energy of hyperbolic orbifolds with conical singularities
Ksenia Fedosova, Julie Rowlett, Genkai Zhang
In this article, we obtain the explicit expression of the Casimir energy for 2-dimensional Clifford-Klein space forms in terms of the geometrical data of the underlying spacetime w…
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…
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…
Scattering Theory with Unitary Twists
Moritz Doll, Ksenia Fedosova, Anke Pohl
We study the spectral properties of the Laplace operator associated to a hyperbolic surface in the presence of a unitary representation of the fundamental group. Following the appr…
Fourier expansions of vector-valued automorphic functions with non-unitary twists
Ksenia Fedosova, Anke Pohl, Julie Rowlett
We provide Fourier expansions of vector-valued eigenfunctions of the hyperbolic Laplacian that are twist-periodic in a horocycle direction. The twist may be given by any endomorphi…
Counting Resonances on Hyperbolic Surfaces with Unitary Twists
Moritz Doll, Ksenia Fedosova, Anke Pohl
We present the Laplace operator associated to a hyperbolic surface and a unitary representation of the fundamental group , extending the previous definiti…
Asymptotic expansion for the eigenvalues of a perturbed anharmonic oscillator
Ksenia Fedosova, Medet Nursultanov
In this article, we study the spectral properties of the perturbation of the generalized anharmonic oscillator. We consider a piecewise Hölder continuous perturbation and investiga…
Second variation of Selberg zeta functions and curvature asymptotics
Ksenia Fedosova, Julie Rowlett, Genkai Zhang
We give an explicit formula for the second variation of the logarithm of the Selberg zeta function, , on Teichmüller space. We then use this formula to determine the asymptot…
Eisenstein series twisted with non-expanding cusp monodromies
Ksenia Fedosova, Anke Pohl
Let be a geometrically finite Fuchsian group and suppose that is a finite-dimensional representation with non-expanding cusp monodromy. We show that…
Meromorphic continuation of Selberg zeta functions with twists having non-expanding cusp monodromy
Ksenia Fedosova, Anke Pohl
We initiate the study of Selberg zeta functions for geometrically finite Fuchsian groups and finite-dimensional representations with non-expanding cusp monodromy.…
Analytic torsion of finite volume hyperbolic orbifolds
Ksenia Fedosova
In this article we define the analytic torsion of finite volume orbifolds and study its asymptotic behavior with respect to certain rays of represen…
On the asymptotics of the analytic torsion for compact hyperbolic orbifolds
Ksenia Fedosova
We study the analytic torsion of odd-dimensional hyperbolic orbifolds , depending on a representation of . Our main goal is to understand the asym…
The twisted Selberg trace formula and the Selberg zeta function for compact orbifolds
Ksenia Fedosova
We study elements of the spectral theory of compact hyperbolic orbifolds . We establish a version of the Selberg trace formula for non-unitary represent…