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JOURNALS // Chebyshevskii Sbornik

Chebyshevskii Sb., 2022, Volume 23, Issue 5, Pages 145–151 (Mi cheb1261)

On the intersection of two homogeneous Beatty sequences
A. V. Begunts, D. V. Goryashin

References

1. Beatty S., “Problem 3173”, American Mathematical Monthly, 33:3 (1926), 159
2. Begunts A. V., Goryashin D. V., “Aktualnye zadachi, svyazannye s posledovatelnostyami Bitti”, Chebyshevskii sbornik, 18:4 (2017), 97–105  mathnet  crossref
3. Technau M., On Beatty sets and some generalisations thereof, Würzburg University Press, Würzburg, 2018  crossref
4. Skolem Th., “On certain distributions of integers in pairs with given differences”, Math. Scand., 5 (1957), 57–68
5. Bang T., “On the sequence $[n\alpha]$, $n=1,2,3\ldots$. Supplementary note to the preceding paper by Th. Skolem”, Math. Scand., 5 (1957), 69–76
6. Arkhipov G. I., Sadovnichii V. A., Chubarikov V. N., Lektsii po matematicheskomu analizu, 4-e izd., pererab. i dop., Drofa, M., 2004, 640 pp.
7. Shmidt Volfgang M., “O sovmestnykh priblizheniyakh dvukh algebraicheskikh chisel ratsionalnymi”, Matematika, 15:3 (1971), 3–25
8. Keipers L., Niderreiter G., Ravnomernoe raspredelenie posledovatelnostei, Per. s angl., Nauka, M., 1985, 408 pp.
9. Beck J., “Probabilistic Diophantine Approximation, I. Kronecker Sequences”, Annals of Mathematics, Second Series, 140:2, Sep. (1994), 449+451–502


© Steklov Math. Inst. of RAS, 2026