Elliptic Carmichael numbers and elliptic Korselt criteria
Joseph H. Silverman (2012)
Acta Arithmetica
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Joseph H. Silverman (2012)
Acta Arithmetica
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Touafek, Nouressadat (2008)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Boyd, David W. (1998)
Experimental Mathematics
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Franz Lemmermeyer (2003)
Acta Arithmetica
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P. D'Ambros, G. Everest, R. Miles, T. Ward (2000)
Colloquium Mathematicae
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We exhibit a family of dynamical systems arising from rational points on elliptic curves in an attempt to mimic the familiar toral automorphisms. At the non-archimedean primes, a continuous map is constructed on the local elliptic curve whose topological entropy is given by the local canonical height. Also, a precise formula for the periodic points is given. There follows a discussion of how these local results may be glued together to give a map on the adelic curve. We are able to give...
Huaning Liu, Tao Zhan, Xiaoyun Wang (2009)
Acta Arithmetica
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K. I. Iordanidis (1971)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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Everest, Graham, Ward, Thomas B. (2000)
The New York Journal of Mathematics [electronic only]
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Devdariani, G. (2000)
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Journal of Mathematical Sciences (New York)
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Konstantinos A. Draziotis (2007)
Colloquium Mathematicae
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We study the Ljunggren equation Y² + 1 = 2X⁴ using the "multiplication by 2" method of Chabauty.
P. G. Walsh (2009)
Acta Arithmetica
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Patrick Ingram (2008)
Acta Arithmetica
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