In this paper, we prove that the Ramanujan-Nagell type Diophantine equation (x^2+Ak^n=B) has at most three nonnegative integer solutions ((x, n)) for (A=1, 2, 4, k) an odd prime and B a positive integer. Therefore, we partially confirm two conjectures of Ulas from [23]
Let D1 and D2 be coprime positive integers and let k be an odd positive integer coprime with D1D2. W...
A conjecture of N. Terai states that for any integer $k>1$, the equation $x^2+(2k-1)^y =k^z$ has onl...
summary:In this paper, we find all integer solutions $ (x, y, n, a, b, c) $ of the equation in the t...
In this paper, we prove that the Ramanujan-Nagell type Diophantine equation (Dx^2+k^n=B) has at most...
In this paper, we prove that the Ramanujan-Nagell type Diophantine equation (Dx^2+k^n=B) has at most...
Let A, B be positive integers and q a prime. In this paper, we prove that the Ramanujan-Nagell type ...
Let A, B be positive integers and q a prime. In this paper, we prove that the Ramanujan-Nagell type ...
Stiller proved that the Diophantine equation x2+119=15 · 2n has exactly six solutions in positive in...
Stiller proved that the Diophantine equation x2+119=15 · 2n has exactly six solutions in positive in...
In this paper, we prove two conjectures of Ulas ([21]) on two Diophantine equations of Ramanujan-Nag...
summary:Let $D$ be a positive integer, and let $p$ be an odd prime with $p\nmid D$. In this paper we...
summary:Let $D$ be a positive integer, and let $p$ be an odd prime with $p\nmid D$. In this paper we...
In this paper, we prove two conjectures of Ulas ([21]) on two Diophantine equations of Ramanujan-Nag...
Recently, Yuan and Li considered a variant y2=px(Ax2-2) of Cassels\u27 equation y2=3x(x2+2). They pr...
AbstractIn this paper we investigate the solvability and the representation of the solutions of the ...
Let D1 and D2 be coprime positive integers and let k be an odd positive integer coprime with D1D2. W...
A conjecture of N. Terai states that for any integer $k>1$, the equation $x^2+(2k-1)^y =k^z$ has onl...
summary:In this paper, we find all integer solutions $ (x, y, n, a, b, c) $ of the equation in the t...
In this paper, we prove that the Ramanujan-Nagell type Diophantine equation (Dx^2+k^n=B) has at most...
In this paper, we prove that the Ramanujan-Nagell type Diophantine equation (Dx^2+k^n=B) has at most...
Let A, B be positive integers and q a prime. In this paper, we prove that the Ramanujan-Nagell type ...
Let A, B be positive integers and q a prime. In this paper, we prove that the Ramanujan-Nagell type ...
Stiller proved that the Diophantine equation x2+119=15 · 2n has exactly six solutions in positive in...
Stiller proved that the Diophantine equation x2+119=15 · 2n has exactly six solutions in positive in...
In this paper, we prove two conjectures of Ulas ([21]) on two Diophantine equations of Ramanujan-Nag...
summary:Let $D$ be a positive integer, and let $p$ be an odd prime with $p\nmid D$. In this paper we...
summary:Let $D$ be a positive integer, and let $p$ be an odd prime with $p\nmid D$. In this paper we...
In this paper, we prove two conjectures of Ulas ([21]) on two Diophantine equations of Ramanujan-Nag...
Recently, Yuan and Li considered a variant y2=px(Ax2-2) of Cassels\u27 equation y2=3x(x2+2). They pr...
AbstractIn this paper we investigate the solvability and the representation of the solutions of the ...
Let D1 and D2 be coprime positive integers and let k be an odd positive integer coprime with D1D2. W...
A conjecture of N. Terai states that for any integer $k>1$, the equation $x^2+(2k-1)^y =k^z$ has onl...
summary:In this paper, we find all integer solutions $ (x, y, n, a, b, c) $ of the equation in the t...
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