Geodesic
Generalized Artin'S Conjecture for Primitive Roots and Cyclicity Mod of Elliptic Curves Over Function Fields
Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 167-173

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

Let k = Fq be a finite field of characteristic p with q elements and let K be a function field of one variable over k. Consider an elliptic curve E defined over K. We determine how often the reduction of this elliptic curve to a prime ideal is cyclic. This is done by generalizing a result of Bilharz to a more general form of Artin's primitive roots problem formulated by R. Murty.
DOI : 10.4153/CMB-1995-023-2
Mots-clés : 11R58, 11G05, elliptic curves, function fields 
Clark, David A.; Kuwata, Masato. Generalized Artin'S Conjecture for Primitive Roots and Cyclicity Mod of Elliptic Curves Over Function Fields. Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 167-173. doi: 10.4153/CMB-1995-023-2
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