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arXiv · 2110.05194

A note on some properties of the $\lambda$-Polynomial

David Bodiu
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Abstract

The expression $a^n + b^n$ can be factored as $(a+b)(a^{n-1} - a^{n-2} b + a^{n-3} b^2 - ... + b^{n-1})$ when $n$ is an odd integer greater than one. This paper focuses on proving a few properties of the longer factor above, which we call $\lambda_n(a,b)$. One such property is that the primes which divide $\lambda_n(a,b)$ satsify $p \ge n$, if $a,b$ are coprime integers and $n$ is an odd prime.

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David Bodiu. 2021-10-04. A note on some properties of the $\lambda$-Polynomial. https://arxiv.org/abs/2110.05194

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