Supercongruences for the $(p-1)$th Ap\'ery number
Ji-Cai Liu, Chen Wang
TL;DR
This paper proves two conjectured supercongruences related to the Apéry number for prime p, advancing understanding of number theory and supercongruence phenomena.
Contribution
It establishes the first proof of two conjectural supercongruences for the (p-1)th Apéry number proposed by Z.-H. Sun.
Findings
Proved two conjectural supercongruences for Apéry numbers
Confirmed conjectures proposed by Z.-H. Sun
Enhanced understanding of supercongruences in number theory
Abstract
In this paper, we prove two conjectural supercongruences on the th Ap\'ery number, which were recently proposed by Z.-H. Sun.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Analytic Number Theory Research