Results 131 to 140 of about 2,483 (259)
f$f$‐Diophantine sets over finite fields via quasi‐random hypergraphs from multivariate polynomials
Mathematika, Volume 72, Issue 2, April 2026.Abstract We investigate f$f$‐Diophantine sets over finite fields via new explicit constructions of families of quasi‐random hypergraphs from multivariate polynomials. In particular, our construction not only offers a systematic method for constructing quasi‐random hypergraphs but also provides a unified framework for studying various hypergraphs ...
Seoyoung Kim, Chi Hoi Yip, Semin Yoo
wiley +1 more source
Dirichlet's theorem and diophantine approximation on manifolds
, 1990 We show that if M ⊂ Rk belongs to a general class of smooth manifolds then, for almost all x ∈ M, Dirichlet's theorem on Diophantine approximation cannot be infinitely ...
Rynne, B.P, Dodson, M.M, Vickers, J.A.G
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Diophantine Approximation with Mixed Powers of Primes
Taiwanese journal of mathematics, 2019 . Let k be an integer with k ≥ 3. Let λ 1 , λ 2 , λ 3 be non-zero real numbers, not all negative. Assume that λ 1 /λ 2 is irrational and algebraic. Let V be a well-spaced sequence, and δ > 0. In this paper, we prove that, for any ε > 0, the number of υ ∈
Huafeng Liu, Jing Huang
semanticscholar +1 more source
Exact local distribution of the absolutely continuous spectral measure
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract It is well‐established that the spectral measure for one‐frequency Schrödinger operators with Diophantine frequencies exhibits optimal 1/2$1/2$‐Hölder continuity within the absolutely continuous spectrum (Avila and Jitomirskaya, Commun. Math. Phys. 301 (2011), 563–581).
Xianzhe Li, Jiangong You, Qi Zhou
wiley +1 more source
Dichotomy Law for a Modified Shrinking Target Problem in Beta Dynamical System
MathematicsLet φ:N→(0,1] be a positive function. We consider the size of the set Ef(φ):={β>1:|Tβn(x)−f(β)|
Wenya Wang, Zhongkai Guo
doaj +1 more source
Some new results in quantitative Diophantine approximation
, 2022 In this article we establish two new results on quantitative Diophantine approximation for one-parameter families of diagonal ternary indefinite forms. In the first result, we consider quadratic forms taking values at prime points.
Ghosh, Anish, Kumaraswamy, V. Vinay
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Random walks on the circle and Diophantine approximation. [PDF]
J Lond Math Soc, 2023 Berkes I, Borda B.
europepmc +1 more source
Counting Real Roots in Polynomial-Time via Diophantine Approximation. [PDF]
Found Comut Math, 2022 Rojas JM.
europepmc +1 more source
DIOPHANTINE APPROXIMATION AND COLORING
, 2014 . We demonstrate how connections between graph the-ory and Diophantine approximation can be used in conjunction to give simple and accessible proofs of seemingly difficult results in both subjects ...
Alan Haynes, Sara Munday
core
Zero-infinity laws in Diophantine approximation [PDF]
, 2005 It is shown that for any translation invariant outer measure M, the M-measure of the intersection of any subset of Rn that is invariant under rational translations and which does not have full Lebesgue measure with the closure of an open set of positive ...
Dodson, Maurice, +8 more
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