Results 61 to 70 of about 2,483 (259)
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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Location of approximations of a Markoff theorem
International Journal of Mathematics and Mathematical Sciences, 1990 Relative to the first two theorems of the well known Markoff Chain (J.W.S. Cassels, An introduction to diophantine approximation approximations are well located.
K. C. Prasad, M. Lari, P. Singh
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Intrinsic Diophantine approximation on the unit circle and its Lagrange spectrum [PDF]
Annales de l'Institut Fourier, 2019 Let $\mathscr{L}(S^1)$ be the Lagrange spectrum arising from intrinsic Diophantine approximation on the unit circle $S^1$ by its rational points. We give a complete description of the structure of $\mathscr{L}(S^1)$ below its smallest accumulation point.
Byungchul Cha, Dong Han Kim
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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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On applications of diophantine approximations [PDF]
Proceedings of the National Academy of Sciences, 1984 This paper is devoted to the study of the arithmetic properties of values of G -functions introduced by Siegel [Siegel, C. L. (1929) Abh. Preuss. Akad. Wiss. Phys.-Math. Kl. 1]. One of the main results is a theorem on the linear independence of values of G -functions ...
openaire +2 more sources
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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THE STABILITY THRESHOLD AND DIOPHANTINE APPROXIMATION [PDF]
, 2022 The purpose of this paper is to use the filtration that appeared in Ru and Vojta [Amer. J. Math. 142 (2020), pp. 957-991] to extend the result of Blum-Jonsson [Adv. Math. 365 (2020), p.
He, Yan, Ru, Min
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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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Metric Diophantine approximation on homogeneous varieties
, 2014 We develop the metric theory of Diophantine approximation on homogeneous varieties of semisimple algebraic groups and prove results analogous to the classical Khinchin and Jarnik theorems. In full generality our results establish simultaneous Diophantine
Nevo, Amos +3 more
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