@article{(Open Science Index):https://publications.waset.org/pdf/6133,
	  title     = {The Diophantine Equation y2 − 2yx − 3 = 0 and Corresponding Curves over Fp},
	  author    = {Ahmet Tekcan and  Arzu Özkoç and  Hatice Alkan},
	  country	= {},
	  institution	= {},
	  abstract     = {In this work, we consider the number of integer solutions
of Diophantine equation D : y2 - 2yx - 3 = 0 over Z and
also over finite fields Fp for primes p ≥ 5. Later we determine the
number of rational points on curves Ep : y2 = Pp(x) = yp
1 + yp
2
over Fp, where y1 and y2 are the roots of D. Also we give a formula
for the sum of x- and y-coordinates of all rational points (x, y) on
Ep over Fp.},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {3},
	  number    = {11},
	  year      = {2009},
	  pages     = {925 - 928},
	  ee        = {https://publications.waset.org/pdf/6133},
	  url   	= {https://publications.waset.org/vol/35},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 35, 2009},
	}