Abstract
Call a monic integer polynomial exceptional if it has a root modulo all but a finite number of primes, but does not have an integer root. We classify all irreducible monic integer polynomials h for which there is an irreducible monic quadratic g such that the product gh is exceptional. We construct exceptional polynomials with all factors of the form Xp−b with p prime and b square-free.
Originalsprache | englisch |
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Seiten (von - bis) | 251-263 |
Seitenumfang | 13 |
Fachzeitschrift | Acta Arithmetica |
Jahrgang | 205 |
Ausgabenummer | 3 |
DOIs | |
Publikationsstatus | Veröffentlicht - 2022 |
ASJC Scopus subject areas
- Algebra und Zahlentheorie