HYPERGEOMETRIC EVALUATION IDENTITIES AND SUPERCONGRUENCES

被引：124

作者：

Long, Ling ^{[1
]}

机构：

[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2011年 / 249卷 / 02期

关键词：

Ramanujan supercongruences; hypergeometric identities; SERIES;

D O I：

10.2140/pjm.2011.249.405

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We apply some hypergeometric evaluation identities, including a strange valuation of Gosper, to prove several supercongruences related to special valuations of truncated hypergeometric series. In particular, we prove a conjecture of van Hamme.

引用

页码：405 / 418

页数：14

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