Two q-supercongruences from Watson's transformation

被引：12

作者：

Ni, He-Xia ^{[1
]}

Wang, Li-Yuan ^{[2
]}

机构：

[1] Nanjing Audit Univ, Dept Appl Math, Nanjing 211815, Peoples R China

[2] Nanjing Tech Univ, Sch Phys & Math Sci, Nanjing 211816, Peoples R China

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2022年 / 116卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Congruence; Cyclotomic polynomial; q-Binomial coefficient; Watson's transformation; SUMS;

D O I：

10.1007/s13398-021-01172-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Guo and Zudilin (Adv Math, 346: 329-358, 2019) introduced a new method called `creative microscoping', to prove many q-supercongruences in a unified way. In this paper, we apply this method and Watson's 8 phi 7 transformation formula to prove two q-supercongruences, which were recently conjectured by Guo and Schlosser.

引用

页数：7

共 40 条

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