Polynomial Reduction and Super Congruences
Combinatorics
2019-07-23 v1 Symbolic Computation
Number Theory
Abstract
Based on a reduction processing, we rewrite a hypergeometric term as the sum of the difference of a hypergeometric term and a reduced hypergeometric term (the reduced part, in short). We show that when the initial hypergeometric term has a certain kind of symmetry, the reduced part contains only odd or even powers. As applications, we derived two infinite families of super-congruences.
Cite
@article{arxiv.1907.09391,
title = {Polynomial Reduction and Super Congruences},
author = {Qing-Hu Hou and Yan-Ping Mu and Doron Zeilberger},
journal= {arXiv preprint arXiv:1907.09391},
year = {2019}
}
Comments
18 pages