两个无理数的有理数近似

Q4 Mathematics

Moscow Journal of Combinatorics and Number Theory Pub Date : 2021-04-07 DOI:10.2140/moscow.2022.11.1

N. Shulga

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引用次数: 2

摘要

对于实ξ，我们考虑非理性测度函数ψξ（t）=min16q6t，q∈Z||qξ||。我们证明了在α±β/∈Z的情况下，存在任意大的t值，其中｜Ş1ψα（t）−1ψ

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Rational approximations to two irrational numbers

For real ξ we consider the irrationality measure function ψξ(t) = min16q6t,q∈Z ||qξ||. We prove that in the case α± β / ∈ Z there exist arbitrary large values of t with ∣ ∣ ∣ 1 ψα(t) − 1 ψβ(t) ∣ ∣ ∣> √ 5 

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来源期刊

Moscow Journal of Combinatorics and Number Theory Mathematics-Algebra and Number Theory

CiteScore

0.80

自引率

0.00%

发文量