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Displaying similar documents to “Chen's theorem in short intervals”

The primary pretenders

John H. Conway, Richard K. Guy, W. A. Schneeberger, N. J. A. Sloane (1997)

Acta Arithmetica

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

Takao Komatsu (1998)

Acta Arithmetica

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We obtain the values concerning ( θ , ϕ ) = l i m i n f | q | | q | q θ - ϕ using the algorithm by Nishioka, Shiokawa and Tamura. In application, we give the values (θ,1/2), (θ,1/a), (θ,1/√(ab(ab+4))) and so on when θ = (√(ab(ab+4)) - ab)/(2a) = [0;a,b,a,b,...].