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On self matching in ⌊nα⌋

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posted on 2024-11-14, 00:07 authored by Martin BunderMartin Bunder
For an arbitrary real number with convergents p0 q0 , p1 q1 , p2 q2 , . . ., b(n+qi)c−bnc is equal to pi, and so is independent of n, except at a small specified number of values of n. For fixed n, this relation holds for all or for all except a finite number of values of i.

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Citation

Bunder, M. W. (2006). On self matching in ⌊nα⌋. The Fibonacci Quarterly: a journal devoted to the study of integers with special properties, 44 290-296.

Journal title

Fibonacci Quarterly

Volume

44

Issue

4

Pagination

290-296

Language

English

RIS ID

22330

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    alphanselfmatching

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