Zobrazeno 1 - 10
of 1 192
pro vyhledávání: '"Fedosova, A."'
We prove exact identities for convolution sums of divisor functions of the form $\sum_{n_1 \in \mathbb{Z} \smallsetminus \{0,n\}}\varphi(n_1,n-n_1)\sigma_{2m_1}(n_1)\sigma_{2m_2}(n-n_1)$ where $\varphi(n_1,n_2)$ is a Laurent polynomial with logarithm
Externí odkaz:
http://arxiv.org/abs/2312.00722
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 with the help of zeta-regularization techniques. The spacetime is geome
Externí odkaz:
http://arxiv.org/abs/2311.03331
Autor:
Klinger-Logan, Kim, Fedosova, Ksenia
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 convolution sums of this form appear when computing the Fourier expansion
Externí odkaz:
http://arxiv.org/abs/2307.03144
Publikováno v:
Russian Journal of Education and Psychology, Vol 15, Iss 4, Pp 400-416 (2024)
Background. The article examines the results of studying coping strategies of students taking into account their subjective locus of control. The introduction includes a detailed description of the concepts of coping behavior and coping strategies, a
Externí odkaz:
https://doaj.org/article/8e21b4af96cc45a58a42ccf6fe0c0df2
Autor:
Fedosova, Ksenia, Klinger-Logan, Kim
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 condition on such Fourier series with convolution formulas on the divisor
Externí odkaz:
http://arxiv.org/abs/2209.09319
Autor:
Xiuyi Liang, Agata J. Pacuła-Miszewska, Richa Vartak, Milankumar Prajapati, Haiyan Zheng, Caifeng Zhao, Ganming Mao, Ketankumar Patel, Natalya U. Fedosova, Jacek Ścianowski, Blase Billack
Publikováno v:
Current Issues in Molecular Biology, Vol 46, Iss 3, Pp 2480-2496 (2024)
In the present work, we evaluated the antifungal activities of two novel ebselen analogs, N-allyl-benzisoselenazol-3(2H)-one (N-allyl-bs) and N-3-methylbutylbenzisoselenazol-3(2H)-one (N-3mb-bs). Colorimetric and turbidity assays were performed to de
Externí odkaz:
https://doaj.org/article/4a91e05672c8411f90f04ef30d76a8e7
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 approach by Guillop\'e and Zworski, we establish a factorization formula f
Externí odkaz:
http://arxiv.org/abs/2202.10764
Publikováno v:
Communications in Number Theory and Physics, Vol. 17, No. 1, p. 173-248, (2023)
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 endomorphism of a finite-dimensional vector space; no assumptions on invertibili
Externí odkaz:
http://arxiv.org/abs/2201.04454
Autor:
Fedosova, Ksenia, Klinger-Logan, Kim
Publikováno v:
In Journal of Number Theory July 2024 260:151-172
We present the Laplace operator associated to a hyperbolic surface $\Gamma\setminus\mathbb{H}$ and a unitary representation of the fundamental group $\Gamma$, extending the previous definition for hyperbolic surfaces of finite area to those of infini
Externí odkaz:
http://arxiv.org/abs/2109.12923