Convolutions on the complex torus
Rings and Algebras
2021-05-13 v4 Mathematical Physics
math.MP
Abstract
``Quasi-elliptic'' functions can be given a ring structure in two different ways, using either ordinary multiplication, or convolution. The map between the corresponding standard bases is calculated. A related structure has appeared recently in the computation of Feynman integrals. The two approaches are related by a sequence of polynomials closely tied to the Eulerian polynomials.
Cite
@article{arxiv.1908.11815,
title = {Convolutions on the complex torus},
author = {Marianne Leitner},
journal= {arXiv preprint arXiv:1908.11815},
year = {2021}
}
Comments
18 pages, to be published in Int. J. Number Theory