Square-free values of cubic polynomials in algebraic number fields

DOI10.1016/0022-314X(89)90087-5zbMath0686.12001MaRDI QIDQ1262340

Juergen G. Hinz

Publication date: 1989

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

square-free numbersalgebraic number field of finite degreeexistence of infinitely many power-free algebraic integers in polynomial sequencesinteger argumentsirreducible cubic polynomialprime arguments

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• On the theorem of Barban and Davenport-Halberstam in algebraic number fields
• On the Goldbach problem in an algebraic number field
• Potenzfreie Werte von Polynomen in algebraischen Zahlkörpern.
• Eine Erweiterung des nullstellenfreien Bereiches der Heckeschen Zetafunktion und Primideale in Idealklassen
• Power Free Values of Polynomials II
• A larger sieve

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