On certain Diophantine equations of the form \(z^2=f(x)^2\pm g(y)^2\)
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Publication:503711
DOI10.1016/j.jnt.2016.10.014zbMath1387.11025OpenAlexW2560759994MaRDI QIDQ503711
Publication date: 23 January 2017
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2016.10.014
Related Items (3)
On the integer solutions of the Diophantine equations \(z^2=f(x)^2\pm f(y)^2\) ⋮ Heron triangles with polynomial value sides ⋮ On the Diophantine equations \(z^2=f(x)^2 \pm f(y)^2\) involving Laurent polynomials
Cites Work
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- Right triangle and parallelogram pairs with a common area and a common perimeter
- Elliptic curves coming from Heron triangles
- Arithmetic progressions on congruent number elliptic curves
- A classical Diophantine problem and modular forms of weight \(3/2\)
- Computations of the rank of elliptic curve \(y^ 2=x^ 3-n^ 2x\)
- On elliptic curves \(y^{2} = x^{3}-n^{2}x\) with rank zero
- Integral points in arithmetic progression on \(y^2= x(x^2-n^2)\)
- Integral right triangle and rhombus pairs with a common area and a common perimeter
- INTEGRAL POINTS ON CONGRUENT NUMBER CURVES
- Congruent Number Elliptic Curves with Rank at Least Three
- ON THE DIOPHANTINE EQUATIONz2=f(x)2±f(y)2, II
- Practical solution of the Diophantine equation $y^2 = x(x+2^ap^b)(x-2^ap^b)$
- TRIANGLE-RECTANGLE PAIRS WITH A COMMON AREA AND A COMMON PERIMETER
- Congruent numbers over real quadratic fields
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