Browsing University of Waterloo by Subject "order of cyclic groups"
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A prime analogue of the Erdös-Pomerance conjecture for elliptic curves
(European Mathematical Society, 2005-12-31)Let E/Q be an elliptic curve of rank ≥ 1 and b ∈ E(Q) a rational point of infinite order. For a prime p of good reduction, let gb(p) be the order of the cyclic group generated by the reduction b of b modulo p. We denote ...