Non-sums of two cubes of algebraic integers

DOI10.4064/cm7945-11-2019zbMath1465.11082OpenAlexW3045212732MaRDI QIDQ5146411

Albertas Zinevičius

Publication date: 25 January 2021

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm7945-11-2019

zbMATH Keywords

algebraic integerssums of two cubes

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Zeta functions and (L)-functions of number fields (11R42) Cubic and quartic Diophantine equations (11D25) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• Sums of \(m\)th powers of algebraic integers
• A simple proof of a theorem of Hajdu–Jarden–Narkiewicz
• Sum of Two Fourth Powers of Integers
• Families of curves having each an integer point
• Class field theory

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