Special Sets of Primes in Function Fields
Number Theory
2013-09-24 v1
Abstract
When investigating the distribution of the Euler totient function, one encounters sets of primes P where if p is in P then r is in P for all r|(p-1). While it is easy to construct finite sets of such primes, the only infinite set known is the set of all primes. We translate this problem into the function field setting and construct an infinite such set in F_p[x] whenever p is equivalent to 2 or 5 modulo 9.
Cite
@article{arxiv.1309.5597,
title = {Special Sets of Primes in Function Fields},
author = {Julio Andrade and Steven J. Miller and Kyle Pratt and Minh-Tam Trinh},
journal= {arXiv preprint arXiv:1309.5597},
year = {2013}
}
Comments
Version 1.0, 4 pages: keywords: Primes, Function Field, Irreducible Polynomials