Zobrazeno 1 - 10 of 18 pro vyhledávání: '"Ali S. Janfada"'
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Elektronická kniha
Elementary Synchronous Programming : In C++ and Java Via Algorithms
Autor: Ali S. Janfada
Algorithms are the essence of programming. After their construction, they have to be translated to the codes of a specific programming language. There exists a maximum of ten basic algorithmic templates. This textbook aims to provide the reader with
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2
On quartic Diophantine equations with trivial solutions in the Gaussian integers
Autor: Ali S. Janfada, Mahnaz Ahmadi
Publikováno v: Volume: 31, Issue: 31 134-142
International Electronic Journal of Algebra
We show that the quartic Diophantine equations $ax^4+by^4=cz^2$ has only trivial solution in the Gaussian integers for some particular choices of $a,b$ and $c$. Our strategy is by elliptic curves method. In fact, we exhibit two null-rank correspondin
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8bfe76f1340f37329b1f5e9656aaf45
https://doi.org/10.24330/ieja.964819
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4
On Diophantine equation x4 + y4 = n(u4 + v4)
Autor: Ali S. Janfada, Kamran Nabardi
Publikováno v: Mathematica Slovaca. 69:1245-1248
Considering the equation x4 + y4 = n(u4 + v4), we first investigate a necessary condition by which the equation has solution and then, for infinitely many n′s we present the integral solutions.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::aa2b690b9adf62af0d3dd1d751debaf3
https://doi.org/10.1515/ms-2017-0305
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5
Rational points of the symmetric diagonal equations
Autor: Hassan Shabani-Solt, A Jalali, Ali S. Janfada
Publikováno v: Proceedings - Mathematical Sciences. 131
In this paper, we consider the symmetric diagonal Diophantine equation $$x^5+ky^q+k'z^r=u^5+kv^q+k'w^r$$ , where k and $$k'$$ are nonzero rational numbers. We prove that if $$2 \le q,r \le 5$$ and $$(q,r) \ne (5,5)$$ this equation admits infinitely m
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f4719ee5570a00e99456c883c039934a
https://doi.org/10.1007/s12044-021-00621-y
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6
SOME ALGEBRAS IN TERMS OF DIFFERENTIAL OPERATORS
Autor: Ali S. Janfada, Ghorban Soleymanpour
Publikováno v: Volume: 29, Issue: 29 120-133
International Electronic Journal of Algebra
Let $C$ be a commutative ring and $C[x_1,x_2,\ldots]$ the polynomial ring in a countable number of variables $x_i$ of degree 1. Suppose that the differential operator $d^1=\sum_i x_{i} \partial_{i} $ acts on $C[x_1,x_2,\ldots]$. Let $\mathbb{Z}_p$ be
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb25ae53be18bc88c95ccfbfeb07442d
https://dergipark.org.tr/tr/pub/ieja/issue/59383/772801
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8
A lower bound for the number of integral solutions of Mordell equation
Autor: Hassan Shabani-Solt, Ali S. Janfada
Publikováno v: Kodai Math. J. 41, no. 1 (2018), 160-166
For a nonzero integer $d$, a celebrated Siegel Theorem says that the number $N(d)$ of integral solutions of Mordell equation $y^2+x^3=d$ is finite. We find a lower bound for $N(d)$, showing that the number of solutions of Mordell equation increases d
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc5871d3a49f26858a7f018f43310a95
https://projecteuclid.org/euclid.kmj/1521424830
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10
On a conjecture on the symmetric hit problem
Autor: Ali S. Janfada
Publikováno v: Rendiconti del Circolo Matematico di Palermo. 60:403-408
The symmetric hit problem was introduced for the first time by the author in his PhD thesis. The aim of this paper is to prove an important conjecture in the symmetric hit problem in an special case.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::54deefb3f7bf37f9df55c0d72325cd68
https://doi.org/10.1007/s12215-011-0062-2
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