Geodesic
An Arithmetical Function Associated With the Rank of Elliptic Curves
Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 181-185

Voir la notice de l'article provenant de la source Cambridge University Press

We define an arithmetical function, f(n), which gives a lower bound for the rank of elliptic curves, y2 = x3 + nx, n square-free. Thus, if f(n) is unbounded for square-free values of n, then there are elliptic curves of arbitrarily large rank. We show that f(n) is unbounded as n ranges over all integers.
DOI : 10.4153/CMB-1991-029-4
Mots-clés : 11G05, 11D85. 
Clark, David. An Arithmetical Function Associated With the Rank of Elliptic Curves. Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 181-185. doi: 10.4153/CMB-1991-029-4
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