3 search results - page 1 / 1 » Explicit Bounds for the Solutions of Elliptic Equations with... |
JSC
1998
13 years 4 months ago
1998
Abstract. In this paper we give new, improved explicit upper bounds for the absolute values of the integer solutions and for the heights of S-integer solutions of elliptic equation...
ANTS
2008
Springer
13 years 7 months ago
2008
Springer
Abstract. We further analyze the solutions to the Diophantine equations from which prime-order elliptic curves of embedding degrees k = 3, 4 or 6 (MNT curves) may be obtained. We g...
MOC
1998
13 years 4 months ago
1998
Consider the system of Diophantine equations x2 − ay2 = b, P (x, y) = z2, where P is a given integer polynomial. Historically, such systems have been analyzed by using Baker’s ...