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JOURNALS // Chebyshevskii Sbornik

Chebyshevskii Sb., 2011, Volume 12, Issue 2, Pages 15–17 (Mi cheb71)

On the sequence $[n\alpha]$, $n=1,2,\dots$
I. I. Il'yasov, G. A. Uzakbaeva

References

1. Slater N. B., “The distribution of the inteqers $N$ for which $\{\Theta N\}<\varphi$”, Proc. Cambridge Phil. Soc., 46 (1950), 525–534  crossref  mathscinet  zmath  adsnasa
2. Thoger Bang, “On the sequence $[n\alpha]$, $n=1,2,\dots$ supplementary note to the preceding paper by Th. Skolem”, Math. Scand., 5 (1957), 69–76  mathscinet
3. Ilyasov I. I., “Strukturnaya formula dlya posledovatelnosti $\{n\theta\}$ i ee prilozheniya v voprosakh teorii chisel”, Chebyshevskii sbornik, 11:1, Trudy VII mezhdunarodnoi konf. algebra i teoriya chisel: sovremennye problemy i prilozheniya (2010), 152–173  mathnet  mathscinet
4. Ilyasov I. I., “O strukture posledovatelnosti $\{n\theta\}$”, Teoriya neregulyarnykh krivykh v razlichnykh geometricheskikh prostranstvakh, Sbornik statei, Alma-Ata, 1979, 44–52  mathscinet


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