5 citations · 11 across the 5 of their papers we have counts for
6 papers
On the conjecture of Jeśmanowicz
Gökhan Soydan, Musa Demirci, Ismail Naci Cangul +1
We give a survey on some results covering the last 60 years concerning Jeśmanowicz' conjecture. Moreover, we conclude the survey with a new result by showing that the special Dioph…
On the Diophantine equation x^2+2^a.3^b.11^c=y^n
Ismail Naci Cangul, Musa Demirci, Ilker Inam +2
In this note, we find all the solutions of the Diophantine equation x^2 +2^a.3^b.11^c=y^n in nonnegative integers a, b, c, x, y, n>= 3 with x and y coprime.
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.
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(…
On the Diophantine Equation
I. N. Cangül, M. Demirci, G. Soydan +1
We give the complete solution in integers of the title equation when , except for the case when is odd.