Factors of alternative binomials sums
Hui-Qin Cao, Hao Pan

TL;DR
This paper confirms several conjectures related to the factors of sums involving alternative binomials, advancing understanding in combinatorial mathematics.
Contribution
It proves multiple conjectures about the factors of alternative binomial sums, providing new insights into their structure.
Findings
Confirmed several conjectures on binomial sum factors
Identified specific factor patterns in alternative binomial sums
Enhanced theoretical understanding of binomial sum properties
Abstract
We confirm several conjectures of Guo, Jouhet and Zeng concerning the factors of alternative binomials sums.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Advanced Combinatorial Mathematics
