Results 201 to 210 of about 1,648,333 (245)

Inhomogeneous Diophantine Approximation on M0-Sets with Restricted Denominators

International mathematics research notices, 2019
Let $F \subseteq [0,1]$ be a set that supports a probability measure $\mu $ with the property that $ |\widehat{\mu }(t)| \ll (\log |t|)^{-A}$ for some constant $ A> 0 $. Let $\mathcal{A}= (q_n)_{n\in{\mathbb{N}}} $ be a sequence of natural numbers. If $
A. Pollington, S. Velani, Agamemnon Zafeiropoulos, E. Zorin   +3 more
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Diophantine approximation by Piatetski-Shapiro primes

Indian journal of pure and applied mathematics, 2020
Let [·]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$[\, \cdot ...
S. Dimitrov
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Triangles in diophantine approximation

Journal of Number Theory, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a problem in diophantine approximation

Proceedings of the Indian Academy of Sciences - Section A, 1942
Not ...
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Effective equidistribution for multiplicative Diophantine approximation on lines

Inventiones Mathematicae, 2019
Given any line in the plane, we strengthen the Littlewood conjecture by two logarithms for almost every point on the line, thereby generalising the fibre result of Beresnevich, Haynes, and Velani.
Sam Chow, Lei Yang
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DIOPHANTINE APPROXIMATION WITH GAUSSIAN PRIMES

, 2019
In this paper we prove that the exact analogue of the author’s work with real irrationals and rational primes (G. Harman, On the distribution of $\alpha p$ modulo one II, Proc. London Math. Soc.
G. Harman
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Simultaneous Diophantine Approximation

Canadian Journal of Mathematics, 1950
Summary of results. The principal result of this paper is as follows: given any set of real numbers z1, z2, & , zn and an integer t we can find an integer and a set of integers p1, p2 & , pn such that(0.11).Also, if n = 2, we can, given t, produce numbers z1 and z2 such that(0.12)This supersedes the results of Nils Pipping (Acta Aboensis, vol.
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Simultaneous Diophantine Approximation

Proceedings of the London Mathematical Society, 1952
Proof of the theorem: ``Let \(c > 46^{-1/4}\). Then, for every pair of real irrational numbers \(\alpha, \beta\), there exist infinitely many solutions \(p, q, r > 0\) of \(r(p-\alpha r)^2 < c\), \(r(q- \beta r)^2 < c\) in integers.'' This result slightly improves one by \textit{P. Mullender} [Ann. Math. (2) 52, 417-426 (1950; Zbl 0037.17102)].
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Diophantine Approximation and Dirichlet Series

Texts and Readings in Mathematics, 2020
H. Queffélec, M. Queffélec
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Diophantine approximation with one prime of the form p = x2 + y2 + 1

Lithuanian Mathematical Journal, 2021
S. Dimitrov
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