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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Franz Lemmermeyer (2003)
Acta Arithmetica
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P. G. Walsh (2009)
Acta Arithmetica
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K. I. Iordanidis (1971)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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Ruthi Hortsch (2016)
Acta Arithmetica
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We give an asymptotic formula for the number of elliptic curves over ℚ with bounded Faltings height. Silverman (1986) showed that the Faltings height for elliptic curves over number fields can be expressed in terms of modular functions and the minimal discriminant of the elliptic curve. We use this to recast the problem as one of counting lattice points in a particular region in ℝ².
K. Rubin (1987)
Inventiones mathematicae
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Devdariani, G. (2000)
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Huaning Liu, Tao Zhan, Xiaoyun Wang (2009)
Acta Arithmetica
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Nazarov, A.I. (2004)
Journal of Mathematical Sciences (New York)
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Daniel S. Kubert (1994)
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Patrick Ingram (2008)
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Stroeker, Roel J., Tzanakis, Nikos (1999)
Experimental Mathematics
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Bulletin de la Société Mathématique de France
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Rose, Harvey E. (2000)
Experimental Mathematics
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