On arithmetic progressions on Pellian equations

DOI10.1007/s10474-007-7087-1zbMath1174.11033OpenAlexW2079277110WikidataQ57595905 ScholiaQ57595905MaRDI QIDQ949865

Petra Tadić, Andrej Dujella, Attila Pethoe

Publication date: 21 October 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2437/90716

zbMATH Keywords

elliptic curvearithmetic progressionPell equation

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Elliptic curves over global fields (11G05) Computer solution of Diophantine equations (11Y50) Arithmetic progressions (11B25)

Related Items (5)

On arithmetic progressions in Lucas sequences. II ⋮ On arithmetic progressions in recurrences -- a new characterization of the Fibonacci sequence ⋮ Markoff-Rosenberger triples in geometric progression ⋮ Arithmetic progressions on Pell equations ⋮ Arithmetic progressions in the solution sets of norm form equations

Uses Software

• APECS
• ecdata

Cites Work

• An example of elliptic curve over \(\mathbb{Q}\) with rank equal to 15.
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