On Inhomogeneous Diophantine Approximation with Some Quasi-Periodic Expressions

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We consider the values lim inf |q→∞ | q| ‖qθ −φ‖, where θ is a Hurwitzian number, in other words, its continued fraction expansion includes a quasi-periodic form. Especially, we set θ = e1/s, where s is a positive integer.

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