A note on the Diophantine equation .

Mollin, R.A.

Displaying similar documents to “A note on the Diophantine equation $D_{1} x^{2} + D_{2} = a k^{n}$ .”

On the Diophantine equations of type $a^{x} + b^{y} = c^{z}$ .

Acu, Dumitru (2005)

General Mathematics

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Generalized Lagrange criteria for certain quadratic Diophantine equations.

Mollin, R.A. (2005)

The New York Journal of Mathematics [electronic only]

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On the family of diophantine triples ${k + 2, 4 k, 9 k + 6}$ .

Filipin, Alan, Togbé, Alain (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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The Diophantine equation $x^{2} + c = y^{n}$ : a brief overview.

Muriefah, Fadwa S.Abu, Bugeaud, Yann (2006)

Revista Colombiana de Matemáticas

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Method of infinite ascent applied on $- (2^{p} \cdot A^{6}) + B^{3} = C^{2}$

Susil Kumar Jena (2013)

Communications in Mathematics

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In this paper, the author shows a technique of generating an infinite number of coprime integral solutions for $(A, B, C)$ of the Diophantine equation $- (2^{p} \cdot A^{6}) + B^{3} = C^{2}$ for any positive integral values of $p$ when $p \equiv 1$ (mod 6) or $p \equiv 2$ (mod 6). For doing this, we will be using a published result of this author in The Mathematics Student, a periodical of the Indian Mathematical Society.

A note on the number of $S$ -Diophantine quadruples

Florian Luca, Volker Ziegler (2014)

Communications in Mathematics

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Let $(a_{1}, \dots, a_{m})$ be an $m$ -tuple of positive, pairwise distinct integers. If for all $1 \leq i < j \leq m$ the prime divisors of $a_{i} a_{j} + 1$ come from the same fixed set $S$ , then we call the $m$ -tuple $S$ -Diophantine. In this note we estimate the number of $S$ -Diophantine quadruples in terms of $| S | = r$ .

Some Diophantine equations of the form $a x^{2} + p x y + b y^{2} = z^{k^{n}}$ .

Andrica, Dorin, Tudor, Gheorghe M. (2005)

General Mathematics

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Displaying similar documents to “A note on the Diophantine equation D 1 x 2 + D 2 = a k n .”

On the Diophantine equations of type a x + b y = c z .

Generalized Lagrange criteria for certain quadratic Diophantine equations.

On the family of diophantine triples { k + 2 , 4 k , 9 k + 6 } .

The Diophantine equation x 2 + c = y n : a brief overview.

Method of infinite ascent applied on - ( 2 p · A 6 ) + B 3 = C 2

A note on the number of S -Diophantine quadruples

Some Diophantine equations of the form a x 2 + p x y + b y 2 = z k n .

Displaying similar documents to “A note on the Diophantine equation $D_{1} x^{2} + D_{2} = a k^{n}$ .”

On the Diophantine equations of type $a^{x} + b^{y} = c^{z}$ .

On the family of diophantine triples ${k + 2, 4 k, 9 k + 6}$ .

The Diophantine equation $x^{2} + c = y^{n}$ : a brief overview.

Method of infinite ascent applied on $- (2^{p} \cdot A^{6}) + B^{3} = C^{2}$

A note on the number of $S$ -Diophantine quadruples

Some Diophantine equations of the form $a x^{2} + p x y + b y^{2} = z^{k^{n}}$ .