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.

引用

页数：14

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