Small generators of quadratic fields and reduced elements

DOI10.1016/J.JNT.2012.02.021zbMath1285.11127OpenAlexW2022719873MaRDI QIDQ432462

Omar Kihel, Jason Lizotte

Publication date: 4 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.02.021

zbMATH Keywords

quadratic fieldprime decompositiona conjecture of Ruppertheight of an elementreduced element

Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

• Unnamed Item
• Power-free values of polynomials
• Lower bounds for height functions
• Small generators of number fields
• An inequality for the discriminant of a polynomial

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