论文信息 - Some generalizations of a supercongruence of van Hamme

Some generalizations of a supercongruence of van Hamme

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.

Victor J. W. Guo

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