Numerical solution of certain exponential and non-linear Diophantine systems of equations by using a discrete particle swarm optimization algorithm
O Pérez, I Amaya, R Correa - Applied Mathematics and Computation, 2013 - Elsevier
This article proposes the numerical solution of some non-linear systems of Diophantine
equations including some exponential cases, by its transformation into an optimization …
equations including some exponential cases, by its transformation into an optimization …
Parallel algorithms for modular multi-exponentiation
F Borges, P Lara, R Portugal - Applied Mathematics and Computation, 2017 - Elsevier
Modular exponentiation is a time-consuming operation widely used in cryptography.
Modular multi-exponentiation, a generalization of modular exponentiation also used in …
Modular multi-exponentiation, a generalization of modular exponentiation also used in …
[PDF][PDF] The Quadratic Diophantine Equations x^ 2− P (t) y^ 2− 2P′(t) x+ 4P (t) y+(P′(t))^ 2− 4P (t)− 1= 0
A Chandoul, D Marques, SS Albrbar - Journal of Mathematics …, 2019 - researchgate.net
The Quadratic Diophantine Equations x2 − P(t)y2 − 2P (t)x + 4P(t)y + (P (t))2 − 4P(t) − 1 = 0 Page
1 http://jmr.ccsenet.org Journal of Mathematics Research Vol. 11, No. 2; 2019 The Quadratic …
1 http://jmr.ccsenet.org Journal of Mathematics Research Vol. 11, No. 2; 2019 The Quadratic …
Diophantine approximation over primes with different powers
H Liu, J Yue - Applied Mathematics and Computation, 2022 - Elsevier
Assume non-zero real numbers κ 1,…, κ 6 are not all negative. Assume also κ 1 κ 2 is
algebraic and not rational, the sequence G is well-spaced and ϑ> 0. In this work, we showed …
algebraic and not rational, the sequence G is well-spaced and ϑ> 0. In this work, we showed …
[PDF][PDF] ON POSITIVE INTEGER SOLUTIONS OF A SPECIAL DIOPHANTINE EQUATION
A Emin - researchgate.net
In this study, the positive solutions of the Diophantine equation D: x2−(σ2+ 4) y2−(2σ− 2)
x−(2σ4+ 8σ2) y− σ6− 4σ4+ σ2− 2σ− 3= 0 on the set Z are investigated, along with some …
x−(2σ4+ 8σ2) y− σ6− 4σ4+ σ2− 2σ− 3= 0 on the set Z are investigated, along with some …
ON THE INTEGRAL SOLUTIONS OF BINARY QUADRATIC DIOPHANTINE EQUATION ax²-bx= cy².
AH Ganesh, K Prabhakaran - South East Asian Journal of …, 2021 - search.ebscohost.com
In this paper, we show that the Diophantine equation ax²-bx= cy² in positive integers x, y, a,
b, c has infinitely many solutions where ac is not a square. We transform the above equation …
b, c has infinitely many solutions where ac is not a square. We transform the above equation …
Bazı tamsayı dizileri ve Pell denklemleri
A Özkoç - 2013 - search.proquest.com
BAZI TAMSAYI DİZİLERİ VE PELL DENKLEMLERİ Arzu ÖZKOÇ Page 1 BAZI TAMSAYI
DİZİLERİ VE PELL DENKLEMLERİ Arzu ÖZKOÇ Page 2 TC ULUDAĞ ÜNİVERSİTESİ FEN …
DİZİLERİ VE PELL DENKLEMLERİ Arzu ÖZKOÇ Page 2 TC ULUDAĞ ÜNİVERSİTESİ FEN …