A Generalization of Tepper's Identity
Mortaza Bayat, Hossein Teimoori Faal
TL;DR
This paper provides a combinatorial proof of Tepper's identity, offers a new proof of Wilson's identity, and generalizes Tepper's identity to any polynomial with real coefficients.
Contribution
It introduces a combinatorial proof of Tepper's identity and extends it to a broader class of polynomials, also providing a new proof of Wilson's identity.
Findings
Combinatorial proof of Tepper's identity
New proof of Wilson's identity
Generalization of Tepper's identity to all real-coefficient polynomials
Abstract
In this paper, we first give a simple combinatorial proof of Tepper's identity. Then, as a by product of this interesting identity we present another proof of the well-known Wilson's identity in number theory. Finally, we obtain a generalization of Tepper's identity for any polynomial with real coefficients.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Identities · Graph Labeling and Dimension Problems