Arithmetic progressions in the solution sets of norm form equations

DOI10.1216/RMJ-2010-40-2-383zbMath1204.11064OpenAlexW2002511514MaRDI QIDQ976545

Attila Bérczes, Lajos Hajdu, Attila Pethoe

Publication date: 14 June 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2010-40-2-383

zbMATH Keywords

arithmetic progressionsnorm form equations

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Arithmetic progressions (11B25) Multiplicative and norm form equations (11D57)

Related Items (6)

Representing algebraic integers as linear combinations of units ⋮ On arithmetic progressions in recurrences -- a new characterization of the Fibonacci sequence ⋮ Terms of recurrence sequences in the solution sets of norm form equations ⋮ Markoff-Rosenberger triples in geometric progression ⋮ On the length of arithmetic progressions in linear combinations of \(S\)-units ⋮ Norm form equations with solutions taking values in a multi-recurrence

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