Convolutions on the complex torus
Abstract
``Quasielliptic'' 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.
 Publication:

arXiv eprints
 Pub Date:
 August 2019
 arXiv:
 arXiv:1908.11815
 Bibcode:
 2019arXiv190811815L
 Keywords:

 Mathematics  Rings and Algebras;
 Mathematical Physics;
 81T40;
 11B68;
 11B73
 EPrint:
 18 pages, to be published in Int. J. Number Theory