Results 41 to 50 of about 114 (107)
Combinatorics on number walls and the P(t)$P(t)$‐adic Littlewood conjecture
Mathematika, Volume 72, Issue 1, January 2026.Abstract In 2004, de Mathan and Teulié stated the p$p$‐adic Littlewood conjecture (p$p$‐LC) in analogy with the classical Littlewood conjecture. Let Fq$\mathbb {F}_q$ be a finite field P(t)$P(t)$ be an irreducible polynomial with coefficients in Fq$\mathbb {F}_q$. This paper deals with the analogue of p$p$‐LC over the ring of formal Laurent series over
Steven Robertson
wiley +1 more source
A Linear Diophantine Fuzzy Graph‐Theoretic Approach for Planar Dynamic Traffic Optimization
Applied Computational Intelligence and Soft Computing, Volume 2026, Issue 1, 2026.Dynamic urban traffic signal control systems face uncertainties such as fluctuating vehicle densities, unpredictable incidents, and varying driver behaviors, making precise decision‐making highly challenging. To address these complexities, fuzzy planar graphs have been employed for uncertainty modeling.
Waheed Ahmad Khan +5 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.A linear Diophantine Z‐number Aczel–Alsina t‐norm operator is implemented for solving a linear Diophantine Z‐number problem, along with explaining its reliability, along with the solution derived. Some basic mathematical characteristics of the introduced operator, such as monotonicity, boundedness, and homogeneity, are rigorously deduced mathematically
Muhammad Umar Mirza +4 more
wiley +1 more source
Simultaneous Diophantine Approximation and Asymptotic Formulae on Manifolds
Journal of Number Theory, 1996 Let \(\psi(q) \in \mathbb{N}\) for \(q=1, 2, 3, \dots\) be decreasing such that for some \(k \in \mathbb{N}\) the series \(\sum\psi(q)^k\) is divergent. As a slight variation of Khintchine's theorem on simultaneous diophantine approximation, it is known that, for almost all \((x_1, \dots, x_k) \in\mathbb{R}^k\) there are infinitely many solutions of ...
Dodson, M.M. +2 more
openaire +2 more sources
Approximating good simultaneous Diophantine approximations is almost NP-hard [PDF]
, 1996 Given a real vector α=(α1,..., α d ) and a real number e>0 a good Diophantine approximation to α is a number Q such that ∥Qα mod ℤ∥∞ ≤e, where ∥ · ∥∞ denotes the l∞-norm ∥x∥t8 ≔ max1 ≤i≤d ¦ xi¦ for x=(x1,..., xd).
Rössner, Carsten, Seifert, Jean-Pierre
openaire +1 more source
Strong characterizing sequences in simultaneous diophantine approximation
Journal of Number Theory, 2003 In this paper, it is proved that: if \(1,\alpha_1,\dots, \alpha_t\in\mathbb{R}\) are linearly independent over the rationals, there is a subset \(A\subset\mathbb{N}\), \(| A|=\infty\), such that \(\sum_{n\in A}\| n\beta\|\) is finite if and only if \(\beta\in G\), the group generated by \(1,\alpha_1,\dots, \alpha_t\).
Biró, András, T. Sós, Vera
openaire +2 more sources
Topological triple phase transition in non-Hermitian Floquet quasicrystals. [PDF]
Nature, 2022 Weidemann S +3 more
europepmc +1 more source
Unification of the Nature's Complexities via a Matrix Permanent-Critical Phenomena, Fractals, Quantum Computing, ♯P-Complexity. [PDF]
Entropy (Basel), 2020 Kocharovsky V, Kocharovsky V, Tarasov S.
europepmc +1 more source
Lévy-Khintchin Theorem for best simultaneous Diophantine approximations
Annales Scientifiques de l'École Normale SupérieureWe extend two results about the ordinary continued fraction expansion to best simultaneous Diophantine approximations of vectors or matrices. The first is Levy-Khintchin Theorem about the almost sure growth rate of the denominators of the convergents. The second is a Theorem of Bosma, Hendrik and Wiedijk about the almost sure limit distribution of the ...
Cheung, Yitwah, Chevallier, Nicolas
openaire +2 more sources
Robust and efficient coding with grid cells. [PDF]
PLoS Comput Biol, 2018 Vágó L, Ujfalussy BB.
europepmc +1 more source