Gap Problems for Integer Part and Fracti
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A.S. Fraenkel; R. Holzman
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Article
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1995
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Elsevier Science
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English
⚖ 856 KB
Our main concern is with Beatty sequences, i.e., sequences of the form \(\{\lfloor n \alpha+\gamma\rfloor: n=0,1, \ldots\}\), where \(\alpha, \gamma\) are real numbers \((\alpha \geqslant 1\) is called the modulus of the sequence). We look at the intersection of two Beatty sequences, and ask how man