BetÃ¼l Gezer and Ahmet Tekcan and Osman Bizim
The Number of Rational Points on Elliptic Curves and Circles over Finite Fields
477 - 482
2008
2
7
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/12784
https://publications.waset.org/vol/19
World Academy of Science, Engineering and Technology
In elliptic curve theory, number of rational points on
elliptic curves and determination of these points is a fairly important
problem. Let p be a prime and Fp be a finite field and k ∈ Fp. It
is well known that which points the curve y2 x3 kx has and
the number of rational points of on Fp. Consider the circle family
x2 y2 r2. It can be interesting to determine common points of
these two curve families and to find the number of these common
points. In this work we study this problem.
Open Science Index 19, 2008