Proof of a conjectural supercongruence
نویسندگان
چکیده
منابع مشابه
Supercongruence Conjectures of Rodriguez-villegas
Abstract. In examining the relationship between the number of points over Fp on certain Calabi-Yau manifolds and hypergeometric series which correspond to a particular period of the manifold, Rodriguez-Villegas identified 22 possible supercongruences. We provide a framework of congruences covering all 22 cases. Using this framework we prove one of the outstanding supercongruence conjectures bet...
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In examining the relationship between the number of points over Fp on certain Calabi-Yau manifolds and hypergeometric series which correspond to a particular period of the manifold, Rodriguez-Villegas identified numerically 22 possible supercongruences. We prove one of the outstanding supercongruence conjectures between a special value of a truncated generalized hypergeometric series and the p-...
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2015
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2015.04.003