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A note on the high power diophantine equations

Proceedings of the Indian Academy of Sciences. Mathematical sciences, 2019-02, Vol.129 (1), p.1-16, Article 14

2019

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On the simultaneous Diophantine equations $$ m \cdot (x_1^k+x_2^k+ \cdots + x_{t_1}^k)=n \cdot (y_1^k+y_2^k+ \cdots y_{t_2}^k)$$ m · ( x 1 k + x 2 k + ⋯ + x t 1 k ) = n · ( y 1 k + y 2 k + ⋯ y t 2 k ) ; $$k=1,3$$ k = 1 , 3

Periodica mathematica Hungarica, 2017-12, Vol.75 (2), p.190-195

2017

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Some new families of positive-rank elliptic curves arising from Pythagorean triples

Notes on number theory and discrete mathematics, 2018-10, Vol.24 (3), p.27-36

2018

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Diophantine equation X 4 + Y 4 = 2( U 4 + V 4 )

Mathematica Slovaca, 2016-06, Vol.66 (3), p.557-560

2016

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On the simultaneous Diophantine equations m·(x1k+x2k+⋯+xt1k)=n·(y1k+y2k+⋯yt2k); k=1,3

Periodica mathematica Hungarica, 2017, Vol.75 (2), p.190-195

2017

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A family of elliptic curves with rank ≥5

Periodica mathematica Hungarica, 2015-10, Vol.71 (2), p.243-249

2015

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New methods for obtaining new families of congruent numbers

Notes on number theory and discrete mathematics, 2019-03, Vol.25 (1), p.14-24

2019

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On a class of quartic Diophantine equations of at least five variables

Notes on number theory and discrete mathematics, 2018-10, Vol.24 (3), p.1-9

2018

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A family of elliptic curves with rank $$\ge 5$$ ≥ 5

Periodica mathematica Hungarica, 2015-12, Vol.71 (2), p.243-249

2015

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HERON QUADRILATERALS VIA ELLIPTIC CURVES

The Rocky Mountain journal of mathematics, 2017-01, Vol.47 (4), p.1227-1258

2017

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A family of elliptic curves of rank ≥ 4

Involve (Berkeley, Calif.), 2016-08, Vol.9 (5), p.733-736

2016

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The Diophantine Equation ax 6 + by 3 + cz 2 = 0 in Gaussian Integers

Kyungpook mathematical journal, 2015-09, Vol.55 (3), p.587-595

2015

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The Diophantine Equation ax6 + by3 + cz2 = 0 in Gaussian In- tegers

Kyungpook Mathematical Journal, 2015, 55(3), , pp.587-595

2015

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The Diophantine Equation ax 6 + by 3 + cz 2 = 0 in Gaussian Integers

Kyungpook mathematical journal, 2015, Vol.55 (3), p.587-595

2015

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Rectification of spheres of co-dimension 1 and 2 in R n

Differential geometry and its applications, 2009-02, Vol.27 (1), p.15-22

Izadi, Farzali

2009

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Rank of elliptic curves associated to Brahmagupta quadrilaterals

Colloquium mathematicum, 2016-01, p.1-6

2016

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SOME QUARTIC DIOPHANTINE EQUATIONS IN THE GAUSSIAN INTEGERS

Bulletin of the Australian Mathematical Society, 2015-10, Vol.92 (2), p.187-194

2015

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Fourth power diophantine equations in Gaussian integers

Proceedings of the Indian Academy of Sciences. Mathematical sciences, 2018-04, Vol.128 (2), p.1-6, Article 18

2018

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On parametric spaces of bicentric quadrilaterals

Mathematica Slovaca, 2017-06, Vol.67 (3), p.611-622

2017

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ELLIPTIC CURVES ARISING FROM BRAHMAGUPTA QUADRILATERALS

Bulletin of the Australian Mathematical Society, 2014-08, Vol.90 (1), p.47-56

2014

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Counting Points on an Abelian Variety over a Finite Field

Lecture notes in computer science, 2003, Vol.2904, p.323-333

2003

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ON RECTIFICATION OF CIRCLES AND AN EXTENSION OF BELTRAMI'S THEOREM

The Rocky Mountain journal of mathematics, 2005-01, Vol.35 (3), p.881-899

IZADI, FARZALI

2005

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A note on the high power diophantine equations

On the simultaneous Diophantine equations $$ m \cdot (x_1^k+x_2^k+ \cdots + x_{t_1}^k)=n \cdot (y_1^k+y_2^k+ \cdots y_{t_2}^k)$$ m · ( x 1 k + x 2 k + ⋯ + x t 1 k ) = n · ( y 1 k + y 2 k + ⋯ y t 2 k ) ; $$k=1,3$$ k = 1 , 3

Some new families of positive-rank elliptic curves arising from Pythagorean triples

Diophantine equation X 4 + Y 4 = 2( U 4 + V 4 )

On the simultaneous Diophantine equations m·(x1k+x2k+⋯+xt1k)=n·(y1k+y2k+⋯yt2k); k=1,3

A family of elliptic curves with rank ≥5

New methods for obtaining new families of congruent numbers

On a class of quartic Diophantine equations of at least five variables

A family of elliptic curves with rank $$\ge 5$$ ≥ 5

HERON QUADRILATERALS VIA ELLIPTIC CURVES

A family of elliptic curves of rank ≥ 4

The Diophantine Equation ax 6 + by 3 + cz 2 = 0 in Gaussian Integers

The Diophantine Equation ax6 + by3 + cz2 = 0 in Gaussian In- tegers

The Diophantine Equation ax 6 + by 3 + cz 2 = 0 in Gaussian Integers

Rectification of spheres of co-dimension 1 and 2 in R n

Rank of elliptic curves associated to Brahmagupta quadrilaterals

SOME QUARTIC DIOPHANTINE EQUATIONS IN THE GAUSSIAN INTEGERS

Fourth power diophantine equations in Gaussian integers

On parametric spaces of bicentric quadrilaterals

ELLIPTIC CURVES ARISING FROM BRAHMAGUPTA QUADRILATERALS

Counting Points on an Abelian Variety over a Finite Field

ON RECTIFICATION OF CIRCLES AND AN EXTENSION OF BELTRAMI'S THEOREM

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