Results 101 to 110 of about 4,479,316 (202)
Diophantine equations involving factorials [PDF]
, 2017 We study the Diophantine equations $(k!)^n -k^n = (n!)^k-n^k$ and $(k!)^n +k^n = (n!)^k +n^k,$ where $k$ and $n$ are positive integers. We show that the first one holds if and only if $k=n$ or $(k,n)=(1,2),(2,1)$ and that the second one holds if and only
Gnatowski, Maciej +2 more
core +1 more source
On the Two-Term Zeckendorf Representations of the Padovan and Perrin Sequences
Journal of Applied MathematicsIn this paper, we completely solve the Diophantine equations Pm=Fn+Fk and Em=Fn+Fk under the condition n≥k+2≥4, where Pm is the m-th Padovan number, Em is the m-th Perrin number, and Fk is the k-th Fibonacci number.
Awaou Lare Ousseni +3 more
doaj +1 more source
Dyna, 2014 El presente artículo propone utilizar una versión discreta del bien conocido algoritmo metaheurístico de optimización por enjambre de partículas, DPSO, para solucionar numéricamente un sistema de ecuaciones Diofánticas lineales.
Iván Amaya, Luis Gómez, Rodrigo Correa
doaj
Systems of linear diophantine equations
, 1995 This thesis provides an algorithm for finding the general solutions of a given system of linear Diophantine equations. A linear Diophantine equation is a polynomial equation (in any number of unknowns) with degree one and whose solutions in integers are ...
Alvarade, Ulysses R., Tizon, Edwin E.
core
On a variant of Pillai's problem involving <i>S</i>-units and Fibonacci numbers. [PDF]
Bol Soc Mat Mex, 2022 Ziegler V.
europepmc +1 more source
Diophantine linear equations, quadratics and applications
, 2017 Este trabalho é resultado de uma pesquisa bibliográfica sobre Diofanto e as equações que levam seu nome, as equações diofantinas. Mais especificamente, apresentamos as equações diofantinas lineares e alguns casos particulares das equações diofantinas ...
Souza, Romario Sidrone [UNESP]
core
On prime powers in linear recurrence sequences. [PDF]
Ann Math Quebec, 2023 Odjoumani J, Ziegler V.
europepmc +1 more source
High-Order Neural-Network-Based Multi-Model Nonlinear Adaptive Decoupling Control for Microclimate Environment of Plant Factory. [PDF]
Sensors (Basel), 2023 Wang Y, Chen Z, Jiang Y, Liu T.
europepmc +1 more source
Diophantine equations in separated variables and polynomial power sums. [PDF]
Mon Hefte Math, 2021 Fuchs C, Heintze S.
europepmc +1 more source