Heun functions and diagonals of rational functions (unabridged version)
Mathematical Physics
2020-02-19 v1 math.MP
Abstract
We provide a set of diagonals of simple rational functions of three and four variables that are squares of Heun functions. These Heun functions obtained through creative telescoping, turn out to be either pullbacked hypergeometric functions and in fact classical modular forms. We also obtain Heun functions that are Shimura curves as solutions of telescopers of rational functions.
Keywords
Cite
@article{arxiv.1910.10761,
title = {Heun functions and diagonals of rational functions (unabridged version)},
author = {Y. Abdelaziz and S. Boukraa and C. Koutschan and J-M. Maillard},
journal= {arXiv preprint arXiv:1910.10761},
year = {2020}
}
Comments
64 pages