Proof of a generalization of the (C.2) supercongruence of Van Hamme,Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

当前位置： X-MOL 学术 › RACSAM › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Proof of a generalization of the (C.2) supercongruence of Van Hamme
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas ( IF 2.9 ) Pub Date : 2021-01-07 , DOI: 10.1007/s13398-020-00991-4
Victor J. W. Guo

We prove some q-supercongruences for certain truncated basic hypergeometric series by making use of Andrews’ multiseries generalization of the Watson transformation, the creative microscoping method, and the Chinese remainder theorem for coprime polynomials. More precisely, we confirm Conjectures 5.2 and 5.3 in Guo (Adv Appl Math 116:Art. 102016, 2020). As a conclusion, we also prove Conjecture 4.3 in Guo (Integral Transforms Spec Funct 28:888–899, 2017) which may be deemed a generalization of the (C.2) supercongruence of Van Hamme.

更新日期：2021-01-07

点击分享查看原文

点击收藏

阅读更多本刊最新论文

全部期刊列表>>