Results 71 to 80 of about 1,510,077 (175)

An application of Frey's idea to exponential Diophantine equations

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1994
Let \(a\), \(b\), \(c\), \(l\), \(m\), \(n\) be relatively prime positive integers. In this paper it is shown that the equation \(la^ x+ mb^ y= nc^ z\), has a finite number of solutions in positive integers \(x\), \(y\), \(z\), all of which can be effectively determined. The effective procedure is based on: a) \textit{G.
openaire   +2 more sources

Mixing Rates of the Geometrical Neutral Lorenz Model. [PDF]

J Stat Phys, 2023
Bruin H, Canales Farías HH.
europepmc   +1 more source

On prime powers in linear recurrence sequences. [PDF]

Ann Math Quebec, 2023
Odjoumani J, Ziegler V.
europepmc   +1 more source

Curious Continued Fractions, Nonlinear Recurrences and Transcendental Numbers [PDF]

, 2015
We consider a family of integer sequences generated by nonlinear recurrences of the second order, which have the curious property that the terms of the sequence, and integer multiples of the ratios of successive terms (which are also integers), appear ...
Hone, Andrew N.W.
core  

Counting Real Roots in Polynomial-Time via Diophantine Approximation. [PDF]

Found Comut Math, 2022
Rojas JM.
europepmc   +1 more source

Integers representable as differences of linear recurrence sequences. [PDF]

Res Number Theory, 2021
Tichy R, Vukusic I, Yang D, Ziegler V.
europepmc   +1 more source

S-Unit Equations in Modules and Linear-Exponential Diophantine Equations

Proceedings of the 58th Annual ACM Symposium on Theory of Computing
Let $T$ be a positive integer, and $\mathcal{M}$ be a finitely presented module over the Laurent polynomial ring $\mathbb{Z}_{/T}[X_1^{\pm}, \ldots, X_N^{\pm}]$. We consider S-unit equations over $\mathcal{M}$: these are equations of the form $x_1 m_1 + \cdots + x_K m_K = m_0$, where the variables $x_1, \ldots, x_K$ range over the set of monomials ...
Ruiwen Dong, Doron Shafrir
openaire   +3 more sources

Parameter Identification of Model for Piezoelectric Actuators. [PDF]

Micromachines (Basel), 2023
Liu D, Dong J, Guo S, Tan L, Yu S.
europepmc   +1 more source

The ternary exponential Diophantine equation concerning Pythagorean triplets

, 2016
Let r be a positive integer with r > 1, and let m be a positive even integer. Further let a = |V (m, r)|, b = |U(m, r)| and c = m2 + 1, where V (m, r) + U(m, r) √-1 = (m + √-1)r.
Di, H, Wenpeng, Z
core  

On the Diophantine equation $x^2+2^\alpha 5^\beta 17^\gamma =y^n$

, 2012
summary:In this paper, we find all solutions of the Diophantine equation $x^2+2^\alpha 5^\beta 17^\gamma = y^n$ in positive integers $x,y\geq 1$, $\alpha ,\beta ,\gamma ,n\geq 3$ with $\gcd (x,y)=1$
Godinho, Hemar, Marques, Diego, Togbé, Alain   +2 more
core   +1 more source