Abstract
We characterize all monic polynomials f(x)∈Z[x] that have the property that
f(p)|f(p^p) for all sufficiently large primes p≥N(f).
We also give necessary conditions and a sufficient condition for monic polynomials f(x)∈Z[x] to satisfy f(p)|f(pp) for all primes p.
f(p)|f(p^p) for all sufficiently large primes p≥N(f).
We also give necessary conditions and a sufficient condition for monic polynomials f(x)∈Z[x] to satisfy f(p)|f(pp) for all primes p.
| Original language | English |
|---|---|
| Article number | 1 |
| Pages (from-to) | 111-118 |
| Number of pages | 8 |
| Journal | Acta Arithmetica |
| Volume | 200 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 11 Aug 2021 |