Abstract
AbstractIn this paper, we prove two recently conjectured supercongruences (modulo $$p^3$$
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.
Funder
Austrian Science Fund
National Natural Science Foundation of China
China Scholarship Council
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis
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