4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.NT2017
Extendibility of Some P_{k} Sets
Bilge Peker, Selin Cenberci
A set of m distinct positive integers {a_{1},...a_{m}} is called a Diophantine m-tuple if a_{i}a_{j}+n is a square for each 1\leqi<j\leqm . The aim of this study is to show that so…
math.NT2012★ 4 cited
On The Solutions of The Equation (4^n)^x+p^y=z^2
Bilge Peker, Selin Inag Cenberci
In this paper, we gave solutions of the Diophantine equations 16^{x}+p^{y}=z^{2}, 64^{x}+p^{y}=z^{2} where p is an odd prime, n is a positive integer and x,y,z are non-negative int…
math.NT2012
On the Diophantine Equation X2+19M=YN
Bilge Peker, Selin, Cenberci
In this article, we consider the equation x^2+19^{m}=y^n, n>2, m>0. We find the solutions of the title equation for not only 2 \mid m but also 2\notdividesm.