Ahmet Tekcan
Positive Definite Quadratic Forms, Elliptic Curves and Cubic Congruences
831 - 835
2010
4
7
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/9336
https://publications.waset.org/vol/43
World Academy of Science, Engineering and Technology
Let F(x, y) ax2 bxy cy2 be a positive definite
binary quadratic form with discriminant Δ whose base points lie on
the line x 1m for an integer m ≥ 2, let p be a prime number
and let Fp be a finite field. Let EF y2 ax3 bx2 cx be an
elliptic curve over Fp and let CF ax3 bx2 cx ≡ 0(mod p) be
the cubic congruence corresponding to F. In this work we consider
some properties of positive definite quadratic forms, elliptic curves
and cubic congruences.
Open Science Index 43, 2010