Abstract
We establish two supercongruences for nomial coefficients. We give a supercongruence similar to Jacobsthal’s binomial congruence, and as a consequence, we confirm the following conjecture for trinomial coefficients:
where be nonnegative integers and is an integer with is an odd prime number, which were posed by G.-S. Mao [On some congruences involving trinomial coefficients. Rocky Mountain J. Math. 50(5) (2020), 1759–1771]. We also generalize the Ljunggren congruence for binomial coefficients to nomial coefficients.
Citation
Hacène Belbachir. Yassine Otmani. "SUPERCONGRUENCES CONCERNING NOMIAL COEFFICIENTS." Rocky Mountain J. Math. 54 (4) 943 - 953, August 2024. https://doi.org/10.1216/rmj.2024.54.943
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