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[PDF] Top 20 On Ternary Quadratic Diophantine Equation

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On Ternary Quadratic Diophantine Equation

On Ternary Quadratic Diophantine Equation

... of ternary quadratic Diophantine equations [8-9] has been ...various ternary quadratic Diophantine ...interesting ternary quadratic equation 15 x 2  15 y 2 ... See full document

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Observations on Ternary Quadratic Diophantine Equation 6(x2+y2) – 11xy+3x+3y+9=72z2

Observations on Ternary Quadratic Diophantine Equation 6(x2+y2) – 11xy+3x+3y+9=72z2

... Ternary quadratic equations are rich in ...the ternary quadratic Diophantine equation of the form kxy  m ( x  y )  z 2 has been studied for non-trivial integral ...[11,12], ... See full document

6

On the Ternary Quadratic Diophantine Equation 4x2 – 7xy2 + 4y2 + x+y+1=19z2 

On the Ternary Quadratic Diophantine Equation 4x2 – 7xy2 + 4y2 + x+y+1=19z2 

... The Ternary Quadratic Diophantine equations offer an unlimited field for research by reason of their variety [1, ...another ternary quadratic Diophantine equation 4 ... See full document

5

A Ternary Quadratic Diophantine Equation $x^2+y^2=65z^2$

A Ternary Quadratic Diophantine Equation $x^2+y^2=65z^2$

... the equation given by x 2 + y 2 = 65z 2 . As ternary quadratic equations are rich in variety, one may search for the other choice of ternary quadratic Diophantine equations and ... See full document

7

On the Ternary Quadratic  Diophantine  Equation $3(x^2+y^2)-5xy+2(x+y)+4=15z^2$

On the Ternary Quadratic Diophantine Equation $3(x^2+y^2)-5xy+2(x+y)+4=15z^2$

... L.E.Dickson, History of Theory of Numbers and Diophantine Analysis, Dover Publications, New York 2005.. L.J.Mordell, Diophantine Equations, Academic Press, New York 1970.[r] ... See full document

8

ON THE TERNARY QUADRATIC DIOPHANTINE EQUATION

ON THE TERNARY QUADRATIC DIOPHANTINE EQUATION

... The ternary homogeneous quadratic equation given by 3(x 2  y 2 )  2 xy  4 z 2 representing a cone is analyzed for its non-zero distinct integer ... See full document

8

On the Ternary Quadratic Diophantine Equation $3(X^2+Y^2)-5XY=75 Z^2$

On the Ternary Quadratic Diophantine Equation $3(X^2+Y^2)-5XY=75 Z^2$

... The ternary quadratic equation given by 3 ( X 2 + Y 2 ) − 5 XY = 75 Z 2 is considered and searched for its many different integer ...above equation are ... See full document

9

On the Ternary Quadratic Diophantine Equation $5y^2 = 3x^2+2z^2$

On the Ternary Quadratic Diophantine Equation $5y^2 = 3x^2+2z^2$

... The ternary homogeneous quadratic equation given by 5 y 2 = 3 x 2 + 2 z 2 is analysed for its non-zero distinct integer ...Keywords: ternary quadratic, integer solutions, homogeneous ... See full document

9

On the Homogeneous Ternary Quadratic Diophantine Equation 3(X+Y)2 2xy=12z2

On the Homogeneous Ternary Quadratic Diophantine Equation 3(X+Y)2 2xy=12z2

... In this paper, we have presented infinitely many non-zero distinct integer solutions to the ternary quadratic equation.. As diophantine equation are rich in variety, to conclude, one may[r] ... See full document

7

On The Ternary Quadratic Diophantine Equation 4(x2+y2) 3xy=16z2

On The Ternary Quadratic Diophantine Equation 4(x2+y2) 3xy=16z2

... equation 4(x 2  y 2 )  3 xy  16 z 2 representing homogeneous quadratic equation with three unknowns for determining its infinitely many non-zero integral points. Also, a few interesting relations ... See full document

7

On The Homogeneous Ternary Quadratic Diophantine Equation 5x2+4y2=189z2

On The Homogeneous Ternary Quadratic Diophantine Equation 5x2+4y2=189z2

... The Diophantine equation offer an unlimited field for research due to their variety   1  3 ...for quadratic equation with three ...interesting equation 5 x 2  4 y 2  189 z 2 ... See full document

10

Integral Points on the Ternary Quadratic Diophantine Equation  ,

Integral Points on the Ternary Quadratic Diophantine Equation ,

... binary quadratic equation of the form = + 1, where D is non-square positive integer has been studied by various mathematicians for its non-trivial integral solutions when D takes different integral values ... See full document

9

ON THE TERNARY QUADRATIC DIOPHANTINE EQUATION 	6z2 = 6x2 - 5y2

ON THE TERNARY QUADRATIC DIOPHANTINE EQUATION 6z2 = 6x2 - 5y2

... The ternary homogeneous quadratic equation given by 6z 2  6x 2 - 5y 2 representing a cone is analyzed for its non-zero distinct integer solutions. A few interesting relations between the solutions ... See full document

9

Integral Solutions of an Infinite Elliptic Cone X2 = 4Y2 + 5Z2

Integral Solutions of an Infinite Elliptic Cone X2 = 4Y2 + 5Z2

... same equation. Since the ternary quadratic Diophantine equations are rich in variety, one may search for other choices of Diophantine equations to find their corresponding integer ... See full document

9

Observations on Ternary Quadratic Equation z2 = 82x2 +y2

Observations on Ternary Quadratic Equation z2 = 82x2 +y2

... the ternary quadratic homogeneous equation k  ( x 2  y 2 )  bxy  4 k  2 2 z , (k,  ,b  0) has been studied for its non-trivial integral ...the ternary quadratic ... See full document

7

A Study on the Homogeneous Cone x2 + 7y2 = 23z2

A Study on the Homogeneous Cone x2 + 7y2 = 23z2

... The Ternary Quadratic Diophantine equation representing homogeneous cone under consideration is.. We present below different methods of solving 1.[r] ... See full document

8

On the Homogeneous Ternary Quadratic Equation $11x^2-2y^2 = 9z^2$

On the Homogeneous Ternary Quadratic Equation $11x^2-2y^2 = 9z^2$

... Abstract. An attempt has been made to obtain all integer solutions of the homogeneous ternary quadratic Diophantine equation given by 11 x 2 − 2 y 2 = 9 z 2 . Different choices of integer ... See full document

9

On the Positive Integer Solutions for a Diophantine Equation

On the Positive Integer Solutions for a Diophantine Equation

... the Diophantine equation in (1) is satisfied for : − 1, that is, ( < + 4) − 42(" < − 3) − 8( < + 4) − 252(" < − 3) − 378 = 0 ...this equation is also satisfied for : ... See full document

5

Integral Solutions of the Diophantine Equation Y2=20x2+4

Integral Solutions of the Diophantine Equation Y2=20x2+4

... binary quadratic Diophantine equation are rich in variety, one may search for the other choices of binary quadratic Diophantine equation and determine their integral solutions ... See full document

6

On the Negative Pellian Equation $y^2=110 x^2-29$

On the Negative Pellian Equation $y^2=110 x^2-29$

... pell equation y 2 = 110 x 2 − 29 . As the binary quadratic Diophantine equations are rich in variety, one may search for the other choices of negative pell equations and determine their integer ... See full document

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