An infinite family of multiplicatively independent bases of number systems in cyclotomic number fields

DOI10.14232/actasm-013-825-5zbMath1363.11015arXiv1403.1673OpenAlexW2964221226MaRDI QIDQ2820744

Volker Ziegler, Manfred G. Madritsch

Publication date: 9 September 2016

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1673

zbMATH Keywords

canonical number systemsDiophantine equationsradix representationsNagell-Ljunggren equation

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41)

Related Items (3)

On Multiplicative Independent Bases for Canonical Number Systems in Cyclotomic Number Fields ⋮ Multiplicative dependence of two integers shifted by a root of unity ⋮ On multiplicatively independent bases in cyclotomic number fields

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