A note on some properties of the $\lambda$-Polynomial
| Autor: | Bodiu, David |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 6 pages, Revised |
| Databáze: | arXiv |
| Externí odkaz: |
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