On some congruences involving trinomial coefficients

Guo-Shuai Mao

doi:10.1216/rmj.2020.50.1759

Abstract

We generalize some congruences which were proved by M. Apagodu and J.-C. Liu (2020) involving trinomial coefficients, and we obtain a supercongruence for trinomial coefficients which contains a congruence proved by Apagodu and Liu (2020).

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Guo-Shuai Mao. "On some congruences involving trinomial coefficients." Rocky Mountain J. Math. 50 (5) 1759 - 1771, October 2020. https://doi.org/10.1216/rmj.2020.50.1759

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Received: 8 November 2019; Revised: 16 January 2020; Accepted: 16 January 2020; Published: October 2020

First available in Project Euclid: 5 November 2020

zbMATH: 07274832

MathSciNet: MR4170684

Digital Object Identifier: 10.1216/rmj.2020.50.1759

Subjects:

Primary: 11A07

Secondary: 05A10 , 11B65

Keywords: congruences , Legendre symbol , Lucas sequences , trinomial coefficients

Abstract

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