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.
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页数：7
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