Norm form equations and linear divisibility sequences

DOI10.1142/S1793042122500634zbMath1497.11079arXiv2007.07392OpenAlexW4205642329WikidataQ114071834 ScholiaQ114071834MaRDI QIDQ5865460

Elisa Bellah

Publication date: 9 June 2022

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

Full work available at URL: https://arxiv.org/abs/2007.07392

zbMATH Keywords

recurrence sequencesDiophantine equationsnorm form equationsunits in biquadratic fields

Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Multiplicative and norm form equations (11D57)

Cites Work

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• On the resolution of index form equations in biquadratic number fields. II
• Divisibility sequences and powers of algebraic integers
• Norm form equations
• An introduction to the geometry of numbers.
• Existence of primitive divisors of Lucas and Lehmer numbers
• Terms in elliptic divisibility sequences divisible by their indices
• Primitive divisors of certain elliptic divisibility sequences
• Über Den Bizyklischen Biquadratischen Zahlkörper
• The terms in Lucas sequences divisible by their indices
• Memoir on Elliptic Divisibility Sequences

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