Results 51 to 60 of about 7,521 (156)
Diophantine equations in two variables
, 2002 This is an expository lecture on the subject of the title delivered at the Park-IAS mathematical institute in Princeton (July, 2000).Comment: Not for separate ...
Kim, Minhyong
core
Localized and Extended Phases in Square Moiré Patterns
Annalen der Physik, Volume 537, Issue 6, June 2025.Rotated superimposed lattices in two dimensions, the termed moiré patterns, represent a clear example of how the structure affects the physical properties of a particle moving on it. A robust numerical treatment of continuous and discrete models leads to confirm that while localized states result from angles that produce non‐commensurable lattices ...
C. Madroñero +2 more
wiley +1 more source
On an Erdős similarity problem in the large
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1801-1818, June 2025.Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao +2 more
wiley +1 more source
Rational fixed points for linear group actions
, 2007 Let $k$ be a finitely generated field, let $X$ be an algebraic variety and $G$ a linear algebraic group, both defined over $k$. Suppose $G$ acts on $X$ and every element of a Zariski-dense semigroup $\Gamma \subset G(k)$ has a rational fixed point in $X ...
Corvaja, Pietro
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
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
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
Quantitative Results on Diophantine Equations in Many Variables
, 2019 We consider a system of integer polynomials of the same degree with non-singular local zeros and in many variables. Generalising the work of Birch (1962) we find quantitative asymptotics (in terms of the maximum of the absolute value of the coefficients ...
van Ittersum, Jan-Willem M.
core
Counting Real Roots in Polynomial-Time via Diophantine Approximation. [PDF]
Found Comut Math, 2022 Rojas JM.
europepmc +1 more source