TL;DR
This paper presents two new identities, one combinatorial and one number theoretic, derived through elementary methods while investigating a conjecture by Green and Liebeck.
Contribution
It introduces two novel identities—one combinatorial and one number theoretic—obtained via elementary techniques in the context of a conjecture.
Findings
Derived a combinatorial identity
Established a number theoretic identity
Connected identities to a conjecture by Green and Liebeck
Abstract
In the process of studying a conjecture of Holly M. Green and Martin W. Liebeck, we obtain two interesting identities by elementary methods, one is a combinatorial identity, and the other is a number theoretic identity.
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Taxonomy
TopicsAdvanced Mathematical Identities