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Combinatorial Diophantine equations

Publicationes Mathematicae Debrecen, 2000
For a positive integer \(k\) let \(P_k(x)=x(x+1)\ldots (x+k-1)\) and \(S_k(x)=1^k+2^k+\ldots +x^k\). In the paper the following Diophantine equations are solved (or resolved): \(P_6(x)=P_4(y)\), \(P_6(x)={y\choose 2}\), \(P_6(x)={y\choose 4}\), \({x\choose 3}=P_2(y)\), \({x\choose 3}=P_4(y)\), \({x\choose 6}=P_2(y)\), \({x\choose 6}=P_4(y)\), \({x ...
Hajdu, L., Pintér, Á.
openaire   +2 more sources

On simultaneous diophantine approximations. Vectors of given diophantine type

Mathematical Notes, 1997
Let \(\psi(y)\) be a real-valued function of a real argument. A positive integer \(p\) is called a simultaneous \(\psi\)-approximation for the numbers \(\alpha_1,\dots,\alpha_s\in \mathbb R\) if \[ \max_{1\leq j\leq s}\| p\alpha_j\|\leq \psi(p)\;(\text{here }\|\alpha\|= \min_{z\in \mathbb Z}| \alpha- z|). \] The numbers \(\alpha_1,\dots, \alpha_s\) are
openaire   +2 more sources

Linear Diophantine fuzzy algebraic structures

Journal of Ambient Intelligence and Humanized Computing, 2021
Huseyin Kamaci, Kamaci Huseyin
exaly  

Diophantine complexity

17th Annual Symposium on Foundations of Computer Science (sfcs 1976), 1976
Leonard M. Adleman, Kenneth L. Manders
openaire   +1 more source

(p, q)-Rung linear Diophantine fuzzy sets and their application in decision-making

Computational and Applied Mathematics, 2023
Pairote Yiarayong, Yiarayong Pairote
exaly  

Linear Diophantine Fuzzy Rough Sets: A New Rough Set Approach with Decision Making

Symmetry, 2022
Muhammad Riaz   +2 more
exaly  

Linear Diophantine Fuzzy Relations and Their Algebraic Properties with Decision Making

Symmetry, 2021
Muhammad Riaz   +2 more
exaly  

Diophantine approximation

2013
Hervé Queffélec, Martine Queffélec
openaire   +1 more source

Diophantine m-tuples in finite fields and modular forms

Research in Number Theory, 2021
Andrej Dujella   +2 more
exaly  

Linear Diophantine Fuzzy Set Theory Applied to BCK/BCI-Algebras

Mathematics, 2022
Sárka Hoskova-Mayerova   +2 more
exaly  

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