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On simultaneous arithmetic progressions on elliptic curves

 

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Opened Access On 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: 2006
Published in: Experimental Mathematics, 15 (4), 471-478.
Document type: Article
Abstract: In this paper we study elliptic curves which have a number of points whose coordinates are in arithmetic progression. We first motivate this diophantine problem, prove some results, provide a number of interesting examples and, finally point out open questions which focus on the most interesting aspects of the problem for us.
Cite: García Selfa, I. y Tornero Sánchez, J.M. (2006). On simultaneous arithmetic progressions on elliptic curves. Experimental Mathematics, 15 (4), 471-478.
Size: 162.5Kb
Format: PDF

URI: http://hdl.handle.net/11441/41950

DOI: 10.1080/10586458.2006.10128979

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