Guo-Shuai Mao and Michael J. Schlosser

Supercongruences involving Domb numbers and binary quadratic forms

(17 pages)


In this paper, we prove two recently conjectured supercongruences (modulo p3, 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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