Prime divisors of sequences of integers
Number Theory
2017-11-07 v2
Abstract
In this paper, we develop Furstenberg's proof of infinity of primes, and prove several results about prime divisors of sequences of integers, including the celebrated Schur's theorem. In particular, we give a simple proof of a classical result which says that a non-degenerate linear recurrence sequence of integers of order k>1 has infinitely many prime divisors.
Keywords
Cite
@article{arxiv.1706.09102,
title = {Prime divisors of sequences of integers},
author = {Xianzu Lin},
journal= {arXiv preprint arXiv:1706.09102},
year = {2017}
}
Comments
8pages,comments welcome