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Searching for simultaneous arithmetic progressions on elliptic curves

 

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Opened Access Searching for simultaneous arithmetic progressions on elliptic curves
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Author: García Selfa, Irene
Tornero Sánchez, José María
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2005-06
Published in: Bulletin of the Australian Mathematical Society, 71 (3), 417-424.
Document type: Article
Abstract: We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5.
Cite: García Selfa, I. y Tornero Sánchez, J.M. (2005). Searching for simultaneous arithmetic progressions on elliptic curves. Bulletin of the Australian Mathematical Society, 71 (3), 417-424.
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Format: PDF

URI: http://hdl.handle.net/11441/41949

DOI: http://dx.doi.org/10.1017/S0004972700038429

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