期刊
RAMANUJAN JOURNAL
卷 49, 期 3, 页码 531-544出版社
SPRINGER
DOI: 10.1007/s11139-018-0021-z
关键词
Ramanujan; Supercongruences; q-Analogues; Cyclotomic polynomials; q-WZ pair
类别
资金
- National Natural Science Foundation of China [11771175]
- Natural Science Foundation of Jiangsu Province [BK20161304]
- Qing Lan Project of Education Committee of Jiangsu Province
Motivated by Zudilin's work, we give q-analogues of the Ramanujan-type supercongruences (E.2) and (F.2) of Van Hamme. Our proof utilizes the q-WZ method and properties of cyclotomic polynomials. Using the same q-WZ pair, we also give q-analogues of some similar supercongruences due to He and Swisher. Additionally, we propose several related conjectures on supercongruences or q-supercongruences.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据