[PDF] Top 20 Observations on the Homogeneous Ternary Cubic Equation with Four Unknowns $3(x^3+y^3)=2zw^2$
Has 10000 "Observations on the Homogeneous Ternary Cubic Equation with Four Unknowns $3(x^3+y^3)=2zw^2$" found on our website. Below are the top 20 most common "Observations on the Homogeneous Ternary Cubic Equation with Four Unknowns $3(x^3+y^3)=2zw^2$".
Observations on the Homogeneous Ternary Cubic Equation with Four Unknowns $3(x^3+y^3)=2zw^2$
... Diophantine equation offer an unlimited field for research due to their variety ...for cubic equations with three unknowns. In [6-8] cubic equations with four unknowns are ... See full document
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On Homogeneous Cubic Diophantine equation with Four Unknowns $3(x^3+y^3) = 8zp^2$
... 3 x + y = zp is analyzed for finding its non-zero distinct integral ...the equation under consideration are obtained the relations between the integer solutions and special numbers namely ... See full document
8
On the Cubic Diophantine Equation with Five Unknowns x3 + y3 + (x+y)(x-y)2=32(z+w)p2
... particular, cubic equations, homogeneous and non-homogeneous have aroused the interest of numerous mathematicians since antiquity (Dickson,1952; Mordell,1969; Carmichael, ...2012)for ... See full document
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On The Homogeneous Cubic Equation With Four Unknowns $(x^3+y^3)=7zw^2$
... representing homogeneous cubic with four unknowns for determining its infinitely many non-zero integral points, also a few interesting relations among the solutions are pres[r] ... See full document
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Observation on the Cubic Diophantine Equation with Four Unknowns $(x^3+y^3)+(x+y)(x+y+1)=zw^2$
... the Homogeneous or Non- homogeneous Diophantine cubic equation is an interesting concept as it can be seen from [ 1 , 2 , 3 ] ...of cubic Diophantine equation with ... See full document
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ON THE NON HOMOGENEOUS CUBIC EQUATION WITH FIVE UNKNOWNS EQUATION
... the Homogeneous Cubic Equation with four unknowns x 3 y 3 14 z 3 3 w 2 ( x y ) , Discovery, ...the ... See full document
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Integer Solution of the Homogeneous Bi-Quadratic Diophantine Equation with Five Unknowns $(x-y)(x^3-y^3)=(z^2-w^2)p^2$
... equations, homogeneous and non -homogeneous, have aroused the interest of numerous mathematicians since ambiguity as can be seen from [1-2] particularly In [3-5] bi-quadratic diophantine ... See full document
7
On the Non-Homogeneous Quintic Equation with Five Unknowns $X^4-Y^4=10 p^3 (Z^2-W^2)$
... three unknowns are studied for their integral ...with four unknowns for their non-zero integer solutions are ...five unknowns for their ... See full document
6
OBSERVATIONS ON THE NON HOMOGENEOUS EQUATION OF THE EIGHTHDEGREE WITH FIVE UNKNOWNS
... ) x y z w p satisfying the non- homogeneous equation of degree eight with five unknowns given by x 4 y 4 ( k 2 s 2 )( z 2 w 2 ) p 6 ... See full document
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On the Non-Homogeneous Ternary Quadratic Equation $2(x^2+y^2)-3xy+(x+y)+1=z^2$
... Diophantine equation offer an unlimited field for due to their variety [ ] 1 − 3 ...interesting homogeneous quadratic equation with three unknowns given by 2 ( x 2 ... See full document
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A Ternary Quadratic Diophantine Equation $x^2+y^2=65z^2$
... Diophantine equation with three unknowns offers an unlimited field for research because of their variety ...interesting equation x 2 + y 2 = 65z 2 representing ... See full document
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Integral Solutions of Non- Homogeneous Ternary Cubic Equation [2(x+y)]2-15xy=64z3
... diophantine equation offers an unlimited field for research due to their variety ...for cubic equation with three ...for ternary cubic equation [2(x+y)] ... See full document
6
On the Non-Homogeneous Cubic Equation with Four Unknowns $(x-y)^2 = 2z^3+w^2$
... Diophantine cubic equation is an interesting concept as it can be seen from [1, 2, ...of cubic Diophantine equation with three and four unknowns are ...interesting ... See full document
6
On the Cubic Diophantine Equation with Four Unknowns $x^2+y^2=z^3-w^3$
... Diophantine equation offers an unlimited field for research due to their variety ...for cubic equation with three unknowns. In [14,15] cubic equations with four unknowns ... See full document
11
Observations on Ternary Quadratic Equation z2 = 82x2 +y2
... Y Z , where P is a non-zero constant have been ...the ternary quadratic homogeneous equation k ( x 2 y 2 ) bxy 4 k 2 2 z , (k, ,b 0) ... See full document
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On the Elliptic Curves of the Form $y^2 = x^3 − pqx$
... Finding integral solutions of Diophantine equations has a long history [1, 2, 3, 11]. Elliptic curves over rational numbers are special types of these equations. Let E be an elliptic curve over Q and E( Q ) ... See full document
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Solutions of the Diophantine Equation $p^x + (p+6)^y = z^2$ when $p, (p + 6)$ are Primes and $x + y = 2, 3, 4$
... Diophantine equation p x + (p+6) y = z 2 when p, (p + 6) are primes, and x, y, z are positive ...of x + y = 2, 3, 4 are ...and x = y = ... See full document
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4. Non-homogeneous Kirchhoff equation on $\mathbb{R}^3$
... In the present paper, following the idea of [8, 17], we consider the nonlinear Kirchhoff equation in the whole space R 3 with g(x) 6≡ 0. To overcome the lack of compactness, we assume that the ... See full document
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Integral Solutions of Homogeneous Biquardratic Equations with Five Unknowns $2(x^4-y^4)=(z^2-w^2)p^2$
... Diophantine homogeneous and non-homogeneous have aroused the interest of numerous ...five unknowns equations for determining its infinitely many non-zero integral ... See full document
7
Integers representable by (x+y+z)3/xyz
... Since any two consecutive under bi triples share two entries, we may define an ordering on triples in the following way.. The complete ordering follows by transitivity.[r] ... See full document
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