Proof of a supercongruence modulo p2r
Victor J. W. Guo
Source abstract
Abstract Employing Watson's terminating transformation, we present a ‐analog of the following supercongruence: for any prime and positive integer , which was conjectured by Z.‐W. Sun in 2011, thus confirming Sun's conjecture. Further, applying a very‐well‐poised summation and the creative microscoping method introduced by the author and Zudilin, we extend this supercongruence to the modulo case. We also give some similar results for primes . Finally, we propose two conjectures on relevant supercongruences for further study.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.