English

On Gosper-Karaji algebraic Identities

Combinatorics 2022-12-22 v1

Abstract

In this paper, we first quickly review the basics of an algebro-geometric method of Karaji's L-summing technique in today's modern language of algebra. Then, we also review the theory of Gosper's algorithm as a decision procedure for obtaining the indefinite sums involving hypergeometric terms. Then, we show that how one can use Gosper's algorithm equipped with the L-summing method to obtain a class of combinatorial identities associated with a given algebraic identity.

Cite

@article{arxiv.2212.10979,
  title  = {On Gosper-Karaji algebraic Identities},
  author = {Hossein Teimoori Faal},
  journal= {arXiv preprint arXiv:2212.10979},
  year   = {2022}
}

Comments

12 pages

R2 v1 2026-06-28T07:46:44.164Z