On inhomogeneous Diophantine approximation and the Nishioka-Shiokawa-Tamura algorithm

• Autorzy: Takao Komatsu
• Języki publikacji: EN

Abstrakty

EN

We obtain the values concerning $𝓜 (θ,ϕ) = lim inf_{|q| → ∞} |q| ‖qθ - ϕ‖$ using the algorithm by Nishioka, Shiokawa and Tamura. In application, we give the values 𝓜 (θ,1/2), 𝓜 (θ,1/a), 𝓜 (θ,1/√(ab(ab+4))) and so on when θ = (√(ab(ab+4)) - ab)/(2a) = [0;a,b,a,b,...].

Kategorie tematyczne

• 11J20: Inhomogeneous linear forms
• 11J70: Continued fractions and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 86
• Numer: 4
• Strony: 305-324

Daty

wydano

1998

otrzymano

1997-09-23

poprawiono

1998-04-28

Twórcy

autor

Takao Komatsu

• Nagaoka National College of Technology, 888 Nishikatakai, Nagaoka, Niigata 940, Japan

Bibliografia

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