Rational reductions for holonomic sequences
Combinatorics
2024-01-30 v1
Abstract
Given a holonomic sequence , we characterize rational functions so that can be summable. We provide upper and lower bounds on the degree of the numerator of and show the denominator of can be read from annihilators of . This illustration provides the so-called rational reductions which can be used to generate new multi-sum equalities and congruences from known ones.
Cite
@article{arxiv.2401.15887,
title = {Rational reductions for holonomic sequences},
author = {Rong-Hua Wang},
journal= {arXiv preprint arXiv:2401.15887},
year = {2024}
}