@article{(Open Science Index):https://publications.waset.org/pdf/12784, title = {The Number of Rational Points on Elliptic Curves and Circles over Finite Fields}, author = {Betül Gezer and Ahmet Tekcan and Osman Bizim}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {2}, number = {7}, year = {2008}, pages = {477 - 482}, ee = {https://publications.waset.org/pdf/12784}, url = {https://publications.waset.org/vol/19}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 19, 2008}, }