Proof of a conjecture involving Sun polynomials

DOI10.1080/10236198.2016.1188088zbMath1468.11006arXiv1511.04005OpenAlexW2964184345WikidataQ122970048 ScholiaQ122970048MaRDI QIDQ4992010

Guo-Shuai Mao, Hao Pan, Victor J. W. Guo

Publication date: 4 June 2021

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04005

zbMATH Keywords

congruenceZeilberger's algorithmreciprocal and unimodal polynomials\(q\)-binomial coefficientsChu-Vandermonde's identitySun polynomials

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

Related Items (4)

Telescoping method and congruences for double sums ⋮ New series for powers of \(\pi\) and related congruences ⋮ Divisibility results on Franel numbers and related polynomials ⋮ Supercongruences involving Lucas sequences

Uses Software

• SumTools

Cites Work

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• Super ballot numbers
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• Conjectures and results on $x^2$ mod $p^2$ with $4p=x^2+dy^2$
• Generalized Powers

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