Whittaker Fourier type solutions to differential equations arising from string theory
Number Theory
2022-09-21 v1 Mathematical Physics
math.MP
Abstract
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 functions. Additionally, we discuss a possible relation with the differential Galois theory.
Cite
@article{arxiv.2209.09319,
title = {Whittaker Fourier type solutions to differential equations arising from string theory},
author = {Ksenia Fedosova and Kim Klinger-Logan},
journal= {arXiv preprint arXiv:2209.09319},
year = {2022}
}
Comments
45 pages