New q-analogues of Van Hamme's (F.2) supercongruence and of some related supercongruences

被引：0

作者：

Hu, Qiuxia ^{[1
]}

机构：

[1] Luoyang Normal Univ, Dept Math, Luoyang 471934, Peoples R China

来源：

MATHEMATICA SLOVACA | 2024年 / 74卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Basic hypergeometric series; q-supercongruences; q-congruences; cyclotomic polynomial; (6)phi(5) summation;

D O I：

10.1515/ms-2024-0048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In terms of a very-well-poised 6 phi 5 summation formula, the creative microscoping method recently introduced by Guo and Zudilin, and the Chinese remainder theorem for coprime polynomials, we establish four new q-supercongruences for truncated basic hypergeometric series. One of these results is a new q-analogue of the (F.2) supercongruence of Van Hamme.

引用

页码：629 / 636

页数：8