Supercongruences involving Domb numbers and binary quadratic forms

被引：1
|
作者：
Mao, Guo-Shuai [1 ]
Schlosser, Michael J. [2 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Dept Math, Nanjing 210044, Peoples R China
[2] Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2024年 / 118卷 / 01期
关键词：
Congruences; Binomial coefficients; Domb numbers; Binary quadratic forms; CONGRUENCES; BERNOULLI;
D O I：
10.1007/s13398-023-01509-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, weprove two recently conjectured supercongruences (modulo p(3), where p is any prime greater than 3) of Zhi-Hong Sun on truncated sums involving the Domb numbers. Our proofs involve a number of ingredients such as congruences involving specialized Bernoulli polynomials, harmonic numbers, binomial coefficients, and hypergeometric summations and transformations.
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页数：14
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