A note on some properties of the $\lambda$Polynomial
Abstract
The expression $a^n + b^n$ can be factored as $(a+b)(a^{n1}  a^{n2} b + a^{n3} b^2  ... + b^{n1})$ 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.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.05194
 Bibcode:
 2021arXiv211005194B
 Keywords:

 Mathematics  General Mathematics;
 11C08 (Primary) 11A07 (Secondary)
 EPrint:
 6 pages, Revised