Lifting the Exponent

 

Title: Lifting the Exponent
Author: Jakub Kądziołka (kuba /at/ kadziolka /dot/ net)
Submission date: 2021-04-27
Abstract: We formalize the Lifting the Exponent Lemma, which shows how to find the largest power of $p$ dividing $a^n \pm b^n$, for a prime $p$ and positive integers $a$ and $b$. The proof follows Amir Hossein Parvardi's.
BibTeX:
@article{Lifting_the_Exponent-AFP,
  author  = {Jakub Kądziołka},
  title   = {Lifting the Exponent},
  journal = {Archive of Formal Proofs},
  month   = apr,
  year    = 2021,
  note    = {\url{https://isa-afp.org/entries/Lifting_the_Exponent.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.