A Generalization of Siegel's Theorem and Hall's Conjecture

Experimental Mathematics, pp. 1-9, 2009.

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primesiegel's theorem. the research of the second author was supported by a grant from epsrc. 1hall's conjecture. elliptic curvenumber theoryMore(4+)

Abstract:

E. Abstract. Consider an elliptic curve, defined over the rational num- bers, and embedded in projective space. The rational points on the curve are viewed as integer vectors with coprime coordinates. What can be said about a rational point if a bound is placed upon the num- ber of prime factors dividing a fixed coordinate? If the bound i...More

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