Results 31 to 40 of about 321 (189)
四川大学学报. 自然科学版, 2022 Correlation functions play a key role in the statistical description of chaotic maps. The main concern of this paper is the calculation of correlation functions of the Tchebyscheff maps, which is traditionally handled by using the graph theoretical ...
ZHOU Xing-Wang
doaj
Exponential diophantine equations and the irrationality of certain real numbers [PDF]
, 1991 We apply Schlickewei's recent result on the S-unit equation to show that certain purely exponential diophantine equations have only finitely many solutions.
Paul-Georg Becker, Becker, Paul-Georg
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On the exponential Diophantine equation $x^2+p^mq^n=2y^p$ [PDF]
, 2023 We study the exponential Diophantine equation $x^2+p^mq^n=2y^p$ in positive integers $x,y,m,n$, and odd primes $p$ and $q$ using primitive divisors of Lehmer sequences in combination with elementary number theory.
Chakraborty, Kalyan, Hoque, Azizul
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Nonlinear-Adaptive Mathematical System Identification
Computation, 2017 By reversing paradigms that normally utilize mathematical models as the basis for nonlinear adaptive controllers, this article describes using the controller to serve as a novel computational approach for mathematical system identification.
Timothy Sands
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On the moments of exponential sums over r$r$‐free polynomials
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let Fq[t]${\mathbb {F}}_q[t]$ denote the ring of polynomials over the finite field Fq${\mathbb {F}}_q$. Building off of techniques of Balog and Ruzsa and of Keil in the integer setting, we determine the precise order of magnitude of k$k$th moments of exponential sums over r$r$‐free polynomials in Fq[t]${\mathbb {F}}_q[t]$ for all k>0$k>0$.
Ben Doyle
wiley +1 more source
On the diophantine equation Px + Qy = z² [PDF]
Diophantine equation is a polynomial equation with two or more unknowns which integral solutions are required. An exponential Diophantine equation is an equation that has additional variable or variables occurring as exponents. This paper concentrates on
Japar, Izzati Izyani +2 more
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Exploration of Solutions for an Exponential Diophantine Equation px+ (p +1)y= z2 [PDF]
, 2021 In this text, the exclusive exponential Diophantine equation px + (p + 1)y= z2such that the sum of integer powers and of two consecutive prime numbers engrosses a square is examined or estimating enormous integer solutions by exploiting the ...
et. al., P. Sandhya,
core
On the Diophantine Equation $(8r^2+1)^x+(r^2-1)^y=(3r)^z$ Regarding Terai's Conjecture
Communications in Advanced Mathematical SciencesThis study establishes that the sole positive integer solution to the exponential Diophantine equation $(8r^2+1)^x+(r^2-1)^y=(3r)^z$ is $(x,y,z)=(1,1,2)$ for all $r>1$.
Murat Alan, Tuba Çokoksen
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Zhejiang Daxue xuebao. Lixue ban, 2007 用渐近连分数的性质和Pell方程的解类特点，得到了指数丢番图方程的解（x，y，n）的性质及其较为精确的上界 ...
YANGShi-chun(杨仕椿), HEBo(何波)
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Multiplicatively dependent integer vectors on a hyperplane
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We establish several asymptotic formulae and upper bounds for the count of multiplicatively dependent integer vectors that lie on a fixed affine hyperplane and have bounded height. This work constitutes a direct extension of the results obtained by Pappalardi, Sha, Shparlinski, and Stewart.
Muhammad Afifurrahman +2 more
wiley +1 more source