Results 31 to 40 of about 2,483 (259)
Khintchine’s theorem and Diophantine approximation on manifolds
Acta Mathematica, 2023 holds for infinitely many (p1, ..., pn, q)∈Z×N. The set of ψ -approximable points in R will be denoted by Sn(ψ). In the special case of ψτ (q):=q−τ for some τ>0, we will also write Sn(τ) instead of Sn(ψτ ).
V. Beresnevich, Le-le Yang
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Forum of Mathematics, Pi, 2022 We present a framework for tame geometry on Henselian valued fields, which we call Hensel minimality. In the spirit of o-minimality, which is key to real geometry and several diophantine applications, we develop geometric results and applications for ...
Raf Cluckers +2 more
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Littlewood and Duffin–Schaeffer-Type Problems in Diophantine Approximation [PDF]
Memoirs of the American Mathematical Society, 2020 Gallagher’s theorem describes the multiplicative diophantine approximation rate of a typical vector. We establish a fully inhomogeneous version of Gallagher’s theorem, a diophantine fibre refinement, and a sharp and unexpected threshold for Liouville ...
Sam Chow, Niclas Technau
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On the size of Diophantine m-tuples in imaginary quadratic number rings
Bulletin of Mathematical Sciences, 2021 A Diophantine m-tuple is a set of m distinct integers such that the product of any two distinct elements plus one is a perfect square. It was recently proven that there is no Diophantine quintuple in positive integers.
Nikola Adžaga
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On the metric theory of inhomogeneous Diophantine approximation: An Erdős-Vaaler type result [PDF]
Journal of Number Theory, 2020 In 1958, Szusz proved an inhomogeneous version of Khintchine's theorem on Diophantine approximation. Szusz's theorem states that for any non-increasing approximation function $\psi:\mathbb{N}\to (0,1/2)$ with $\sum_q \psi(q)=\infty$ and any number ...
Han Yu
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A theorem on diophantine approximations
Lietuvos Matematikos Rinkinys, 1998 A result is proved on approximation of irrational numbers by rational ones, satisfying some requirements on their multiplicative structure. The statement is comparable with that one on diophantine approximations with square-free integers.
Vilius Stakėnas
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Sugaku Expositions, 2021 This article gives an introductory survey of recent progress on Diophantine problems, especially consequences coming from Schmidt’s subspace theorem, Baker’s transcendence method and Padé approximation.
Noriko Hirata-Kohno
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Spherical Linear Diophantine Fuzzy Soft Rough Sets with Multi-Criteria Decision Making
Axioms, 2021 Modeling uncertainties with spherical linear Diophantine fuzzy sets (SLDFSs) is a robust approach towards engineering, information management, medicine, multi-criteria decision-making (MCDM) applications. The existing concepts of neutrosophic sets (NSs),
Masooma Raza Hashmi +4 more
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Birational Nevanlinna Constants, Beta Constants, and Diophantine Approximation to Closed Subschemes [PDF]
Journal de Théorie des Nombres de Bordeaux, 2020 In an earlier paper (joint with Min Ru), we proved a result on diophantine approximation to Cartier divisors, extending a 2011 result of P. Autissier. This was recently extended to certain closed subschemes (in place of divisors) by Ru and Wang.
Paul Vojta
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Diophantine Approximations on Fractals [PDF]
Geometric and Functional Analysis, 2011 ISSN:1420 ...
Einsiedler, Manfred +2 more
openaire +4 more sources