A New Family of q-Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial
被引:43
作者:
Guo, Victor J. W.
论文数: 0引用数: 0
h-index: 0
机构:
Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R ChinaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
Guo, Victor J. W.
[1
]
Schlosser, Michael J.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, AustriaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
Schlosser, Michael J.
[2
]
机构:
[1] Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
[2] Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria
Basic hypergeometric series;
supercongruences;
q-congruences;
cyclotomic polynomial;
q-microscoping;
Chinese remainder theorem for polynomials;
CONGRUENCES;
D O I:
10.1007/s00025-020-01272-7
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We establish a new family of q-supercongruences modulo the fourth power of a cyclotomic polynomial, and give several related results. Our main ingredients are q-microscoping and the Chinese remainder theorem for polynomials.
机构:
Tel Aviv Univ, Raymond & Beverly Sackler Sch Math Sci, IL-6997801 Tel Aviv, IsraelTel Aviv Univ, Raymond & Beverly Sackler Sch Math Sci, IL-6997801 Tel Aviv, Israel
机构:
Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R ChinaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
Guo, Victor J. W.
Schlosser, Michael J.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, AustriaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
机构:
Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R ChinaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
Guo, Victor J. W.
Schlosser, Michael J.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, AustriaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
机构:
Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R ChinaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
机构:
Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R ChinaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
机构:
Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R ChinaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
Guo, Victor J. W.
Zudilin, Wadim
论文数: 0引用数: 0
h-index: 0
机构:
Radboud Univ Nijmegen, IMAPP, Dept Math, POB 9010, NL-6500 GL Nijmegen, NetherlandsHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
机构:
Tel Aviv Univ, Raymond & Beverly Sackler Sch Math Sci, IL-6997801 Tel Aviv, IsraelTel Aviv Univ, Raymond & Beverly Sackler Sch Math Sci, IL-6997801 Tel Aviv, Israel
机构:
Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R ChinaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
Guo, Victor J. W.
Schlosser, Michael J.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, AustriaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
机构:
Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R ChinaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
Guo, Victor J. W.
Schlosser, Michael J.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, AustriaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
机构:
Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R ChinaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
机构:
Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R ChinaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
机构:
Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R ChinaHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
Guo, Victor J. W.
Zudilin, Wadim
论文数: 0引用数: 0
h-index: 0
机构:
Radboud Univ Nijmegen, IMAPP, Dept Math, POB 9010, NL-6500 GL Nijmegen, NetherlandsHuaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China