English

Reduction on the congruences of partial sums of P-recursive sequences

Combinatorics 2023-12-22 v1 Number Theory

Abstract

Hou and Liu developed a telescoping method to prove the congruence of partial sums of P-recursive sequences. We release the requirement on the telescoper and utilize the congruence of the sequence. With this approach, we are able to confirm a conjecture of Sun and find a new congruence on the central trinomial coefficient.

Keywords

Cite

@article{arxiv.2312.13613,
  title  = {Reduction on the congruences of partial sums of P-recursive sequences},
  author = {Qing-Hu Hou and Na Li},
  journal= {arXiv preprint arXiv:2312.13613},
  year   = {2023}
}

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11 pages