English

Irreducible quadratic polynomials and Euler's function

Number Theory 2018-11-01 v1

Abstract

Let P(x)P(x) be an irreducible quadratic polynomial in Z[x]\mathbb{Z}[x]. We show that for almost all nn, P(n)P(n) does not lie in the range of Euler's totient function.

Keywords

Cite

@article{arxiv.1810.12990,
  title  = {Irreducible quadratic polynomials and Euler's function},
  author = {Noah Lebowitz-Lockard},
  journal= {arXiv preprint arXiv:1810.12990},
  year   = {2018}
}

Comments

18 pages

R2 v1 2026-06-23T04:58:20.870Z