Results 61 to 70 of about 1,648,333 (245)
Restricted simultaneous Diophantine approximation
, 2017 We study the problem of Diophantine approximation on lines in Rd under certain primality ...
Ghosh, Anish, Baier, Stephan
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Observation of vibrating systems at different time instants
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we obtain new observability inequalities for the vibrating string. This work was motivated by a recent paper of A. Szijártó and J.
Ambroise Vest
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A new proof of Nishioka’s theorem in Mahler’s method
Comptes Rendus. Mathématique, 2023 In a recent work [3], the authors established new results about general linear Mahler systems in several variables from the perspective of transcendental number theory, such as a multivariate extension of Nishioka’s theorem.
Adamczewski, Boris, Faverjon, Colin
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Mathematics, 2021 The modulus of type N=p2q is often used in many variants of factoring-based cryptosystems due to its ability to fasten the decryption process. Faster decryption is suitable for securing small devices in the Internet of Things (IoT) environment or ...
Muhammad Asyraf Asbullah +3 more
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Equidistribution on homogeneous spaces and the distribution of approximates in Diophantine approximation [PDF]
Transactions of the American Mathematical Society, 2019 The present paper is concerned with equidistribution results for certain flows on homogeneous spaces and related questions in Diophantine approximation.
Mahbub Alam, Anish Ghosh
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Witnessing a Poincaré recurrence with Mathematica
Results in Physics, 2017 The often elusive Poincaré recurrence can be witnessed in a completely integrable system. For such systems, the problem of recurrence reduces to the classic mathematical problem of simultaneous Diophantine approximation of multiple numbers.
J.M. Zhang, Y. Liu
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Multiplicative p-adic metric Diophantine approximation on manifolds and dichotomy of exponents [PDF]
Bulletin de la Société Mathématique de France, 2019 In this paper we study $p$-adic Diophantine approximation on manifolds, specifically multiplicative Diophantine approximation on affine subspaces and a Diophantine dichotomy for analytic $p$-adic manifolds.
Shreyasi Datta, Anish Ghosh
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One Diophantine inequality with unlike powers of prime variables
Journal of Inequalities and Applications, 2016 In this paper, we show that if λ 1 $\lambda_{1}$ , λ 2 $\lambda_{2}$ , λ 3 $\lambda_{3}$ , λ 4 $\lambda _{4}$ , λ 5 $\lambda_{5}$ are nonzero real numbers not all of the same sign, η is real, 0 < σ < 1 720 ...
Wenxu Ge, Weiping Li
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Introduction to Diophantine Approximation
Formalized Mathematics, 2015 Abstract In this article we formalize some results of Diophantine approximation, i.e. the approximation of an irrational number by rationals. A typical example is finding an integer solution (x, y) of the inequality |xθ − y| ≤ 1/x, where 0 is a real number. First, we formalize some lemmas about continued fractions. Then we prove that the
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On asymmetric Diophantine approximations. [PDF]
Michigan Mathematical Journal, 1962 It is well known the following theorem of \textit{B. Segre} [Duke Math. J. 12, 337--365 (1945; Zbl 0060.11807)]: Every irrational number \(\theta\) has infinitely many rational approximations \(h/k\) satisfying: \[ -1/(1+4\tau)^{1/2} K^2 < \theta - h/k < \tau /(1+4 \tau)^{1/2} K^2 \] where \(\tau\) is any given non-negative real number.
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