当前位置: X-MOL 学术Int. J. Number Theory › 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.)
A further q-analogue of Van Hamme’s (H.2) supercongruence for primes p ≡ 3(mod4)
International Journal of Number Theory ( IF 0.7 ) Pub Date : 2020-11-02 , DOI: 10.1142/s1793042121500329
Victor J. W. Guo 1
Affiliation  

Long and Ramakrishna [Some supercongruences occurring in truncated hyper- geometric series, Adv. Math. 290 (2016) 773–808] generalized the (H.2) supercongruence of Van Hamme to the modulus p3 case. In this paper, we give a q-analogue of Long and Ramakrishna’s result for p 3(mod 4). A q-congruence modulo the fourth power of a cyclotomic polynomial, which is a deeper q-analogue of the (A.2) supercongruence of Van Hamme for p 3(mod 4), is also formulated.

中文翻译:

素数 p ≡ 3(mod4) 的 Van Hamme (H.2) 超同余的进一步 q-类比

Long 和 Ramakrishna [在截断的超几何级数中发生的一些超同余,进阶。数学。 290(2016) 773–808] 将 Van Hamme 的 (H.2) 超同余性推广到模数p3案子。在本文中,我们给出了一个q- Long 和 Ramakrishna 的结果的模拟p 3(模组 4). 一种q-同余模取分圆多项式的四次方,这是一个更深的q- Van Hamme 的 (A.2) 超同余的类比p 3(模组 4), 也被制定。
更新日期:2020-11-02
down
wechat
bug