Supercongruences involving Domb numbers and binary quadratic forms
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas(2024)
摘要
In this paper, we prove 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.
更多查看译文
关键词
Congruences,Binomial coefficients,Domb numbers,Binary quadratic forms
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要