Results 1 to 10 of about 13,343 (141)
On Diophantine approximation by unlike powers of primes
Open Mathematics, 2019 Suppose that λ1, λ2, λ3, λ4, λ5 are nonzero real numbers, not all of the same sign, λ1/λ2 is irrational, λ2/λ4 and λ3/λ5 are rational. Let η real, and ε > 0.
Ge Wenxu, Li Weiping, Wang Tianze
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Restricted simultaneous Diophantine approximation [PDF]
Mathematika, 2016 We study the problem of Diophantine approximation on lines in $\mathbb{R}^d$ under certain primality restrictions.Comment: 16 pages.
Baier, Stephan, Ghosh, Anish
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Diophantine approximation and deformation [PDF]
Bulletin de la Société mathématique de France, 1999 We associate certain curves over function fields to given algebraic power series and show that bounds on the rank of Kodaira-Spencer map of this curves imply bounds on the exponents of the power series, with more generic curves giving lower exponents. If
Kim, Minhyong +2 more
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Diophantine approximation and coloring [PDF]
The American Mathematical Monthly, 2014 We demonstrate how connections between graph theory and Diophantine approximation can be used in conjunction to give simple and accessible proofs of seemingly difficult results in both subjects.Comment: 16 pages, pre-publication version of paper which ...
Haynes, Alan, Munday, Sara
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An extension of the mixed integer part of a nonlinear form [PDF]
Journal of Inequalities and Applications, 2017 Our aim in this paper is to consider the integer part of a nonlinear form representing primes. We establish that if λ 1 , λ 2 , … , λ 8 $\lambda_{1},\lambda _{2},\ldots,\lambda_{8}$ are positive real numbers, at least one of the ratios λ i / λ j ...
Yunhan Wang, Jiani Mu
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Linear Diophantine Fuzzy Rough Sets on Paired Universes with Multi Stage Decision Analysis
Axioms, 2022 Rough set (RS) and fuzzy set (FS) theories were developed to account for ambiguity in the data processing. The most persuasive and modernist abstraction of an FS is the linear Diophantine FS (LD-FS).
Saba Ayub +5 more
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Журнал Белорусского государственного университета: Математика, информатика, 2021 The article is devoted to the latest results in metric theory of Diophantine approximation. One of the first major result in area of number theory was a theorem by academician Jonas Kubilius. This paper is dedicated to centenary of his birth.
Victor V. Beresnevich +4 more
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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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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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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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