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Author(s)
Lena JT StrÃ¶mberg, previously Department of Solid Mechanics, Royal Institute of Technology (KTH)
Abstract
Rational points on elliptic curves are considered, in the formulation of BSD, and for nonlinear dynamical systems. Method used is the intersection with other curves, for a more general expression of an elliptic curve, known as an extended elliptic curve. It is found that there are elliptic curves with at most 3 rational solutions for certain rational values of parameters, c.f. Theorem 3.
Keywords
Elliptic Curves, Rational numbers, Number Theory, Millennium Prize Problem, ultimate solution, associated ellips, associated hyperbolic, cusp, Nonlinear Dynamics, Phase Portrait, Lorenz equations, aqua plane, Hamiltonian
Cite this paper
Lena JT Strömberg,
RATIONAL POINTS ON ELLIPTIC CURVES; THE ULTIMATE SOLUTION OF THE MILLENIUM PRIZE PROBLEM; BSDCONJECTURE, SCIREA Journal of Mathematics. Vol.
1
, No.
1
,
2016
, pp.
175

183
.
References
[ 1 ]  The Birch and SwinnertonDyer conjecture, A Wiles, wikipedia, elliptic curves 
[ 2 ]  Continuum Mixture theory as an approach to FluidStructure Interaction, L StrÃ¶mberg, IUTAM Symposium on FluidStructure Interaction in Ocean Engineering, Hamburg/Germany, July 2327, 2007 and proc. NSCM 19, Lund, 2006. 