Výsledky vyhledávání - "Farzali Izadi"

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

Autor: Farzali Izadi, Mehdi Baghalaghdam

Publikováno v: Periodica Mathematica Hungarica. 75:190-195

In this paper, we solve the simultaneous Diophantine equations $$m \cdot ( x_{1}^k+ x_{2}^k +\cdots + x_{t_1}^k)=n \cdot (y_{1}^k+ y_{2}^k +\cdots + y_{t_2}^k )$$ , $$k=1,3$$ , where $$ t_1, t_2\ge 3$$ , and m, n are fixed arbitrary and relatively pr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6af7e5ff7c0a67c45bf1ad16e559ad50
https://doi.org/10.1007/s10998-017-0183-2

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A family of elliptic curves of rank ≥ 4

Autor: Farzali Izadi, Kamran Nabardi

Publikováno v: Involve 9, no. 5 (2016), 733-736

In this paper we consider a family of elliptic curves of the form [math] , where [math] is a primitive Pythagorean triple. First we show that the rank is positive. Then we construct a subfamily with rank [math] .

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::567558564c4610721c3b1af9f44168a5
https://doi.org/10.2140/involve.2016.9.733

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

Autor: Farzali Izadi, Kamran Nabardi

Publikováno v: Mathematica Slovaca. 66:557-560

In this paper, the theory of elliptic curves is used for finding the solutions of the quartic Diophantine equation X 4+Y 4 = 2(U 4 + V 4).

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1232d97828e6dbbde7fb3c5329369d03
https://doi.org/10.1515/ms-2015-0157

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Fourth power diophantine equations in Gaussian integers

Autor: Farzali Izadi, Naghdali Forooshani Rasool, Amiryousefi Varnousfaderani Amaneh

Publikováno v: Proceedings - Mathematical Sciences. 128

In this paper, we examine a class of fourth power diophantine equations of the form $$x^4+kx^2y^2+y^4=z^2$$ and $$ax^4+by^4=cz^2$$ , in the Gaussian integers, where a and b are prime integers.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6666cbc0db40414e48eba2ed20b2a590
https://doi.org/10.1007/s12044-018-0390-7

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