ABSTRACT
van Hamme conjectured that, for any odd prime p, This result was proved by Mortenson using a transformation, and was reproved by Zudilin via the Wilf–Zeilberger method. In this paper, we propose a conjectural generalization of van Hamme's supercongruence and prove some special cases, such as where p is a prime with . We also state some related conjectures.
Acknowledgments
The author would like to thank the anonymous referee for many helpful comments and suggestions.
Disclosure statement
No potential conflict of interest was reported by the author.
ORCID
Victor J. W. Guo http://orcid.org/0000-0002-4153-715X