13 citations · 50 across the 23 of their papers we have counts for
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The Diophantine Equation x^{2}+11^{m}=y^{n}
Gokhan Soydan, Musa Demirci, Ismail Naci Cangul
The object of this paper is to give a new proof of all the solutions of the Diophantine equation x^2+11^m=y^n; in positive integers x, y with odd m>1 and n>=3.
A p-adic look at the Diophantine equation x^{2}+11^{2k}=y^{n}
Ismail Naci Cangul, Gokhan Soydan, Yilmaz Simsek
We find all solutions of Diophantine equation x^{2}+11^{2k} = y^{n} where x>=1, y>=1, n>=3 and k is natural number. We give p-adic interpretation of this equation.
The Group Structure of Bachet Elliptic Curves over Finite Fields F_{p}
Nazli Yildiz Ikikardes, Musa Demirci, Gokhan Soydan +1
Bachet elliptic curves are the curves y^2=x^3+a^3 and in this work the group structure E(F_{p}) of these curves over finite fields F_{p} is considered. It is shown that there are t…
Rational Points on Elliptic Curves y^2=x^3+a^3 in f_{p} where p{\equiv}1(mod6) is Prime
Musa Demirci, Gokhan Soydan, Ismail Naci Cangul
In this work, we consider the rational points on elliptic curves over finite fields F_{p}. We give results concerning the number of points on the elliptic curve y^2{\equiv}x^3+a^3(…