Results 41 to 50 of about 147 (145)
Max–min of polynomials and exponential diophantine equations
Journal of Number Theory, 2010 In the first half of this paper, largely based on earlier work of \textit{R. Dvornicich, U. Zannier}, and the author [Acta Arith. 106, No. 2, 115--121 (2003; Zbl 1020.11018)], it is shown that for \(F \in {\mathbb Z}[x,y]\) one has \(\max_{x \in \mathbb Z \cap [-T,T]} \min_{y \in \mathbb Z} |F(x,y)| = o(T^{1/2})\) as \(T \to \infty\) if and only if ...
openaire +2 more sources
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
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
On generating functions in additive number theory, II: lower-order terms and applications to PDEs. [PDF]
Math Ann, 2021 Brandes J +4 more
europepmc +1 more source
Unifying Aspects of Generalized Calculus. [PDF]
Entropy (Basel), 2020 Czachor M.
europepmc +1 more source
Uncomputability and complexity of quantum control. [PDF]
Sci Rep, 2020 Bondar DI, Pechen AN.
europepmc +1 more source
A Contemporary Design Process for Single-Phase Voltage Source Inverter Control Systems. [PDF]
Sensors (Basel), 2022 Bernacki K, Rymarski Z.
europepmc +1 more source
On some conjectures of exponential Diophantine equations
, 2020 In this paper, we consider the exponential Diophantine equation $a^{x}+b^{y}=c^{z},$ where $a, b, c$ be relatively prime positive integers such that $a^{2}+b^{2}=c^{r}, r\in Z^{+}, 2\mid r$ with $b$ even. That is $$a=\mid Re(m+n\sqrt{-1})^{r}\mid, b=\mid Im(m+n\sqrt{-1})^{r}\mid, c=m^{2}+n^{2},$$ where $m, n$ are positive integers with $m>n, m-n ...
openaire +2 more sources
Topological triple phase transition in non-Hermitian Floquet quasicrystals. [PDF]
Nature, 2022 Weidemann S +3 more
europepmc +1 more source