Geodesic
On numbers with fixed last digits of linear recurrent base expansion
Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 1, pp. 141-150 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study some properties of natural numbers with fixed last digits of linear recurrent base expansion. Using the theory of Rauzy fractals we describe possible densities of such numbers and possible first differences between them. 
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A. V. Shutov. On numbers with fixed last digits of linear recurrent base expansion. Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 1, pp. 141-150. http://geodesic.mathdoc.fr/item/DVMG_2024_24_1_a12/

[1] Berthe V., Siegel A., “Tilings associated with beta-numeration and substitution”, Integers: electronic journal of combinatorial number theory, 5 (2008), A02 | MR

[2] Frougny C., Solomyak B., “Finite beta-expansions”, Ergodic Theory and Dynamical Systems, 12:4 (1992), 713–723 | DOI | MR | Zbl

[3] Akiyama S., “Pisot number system and its dual tiling”, Physics and Theoretical Computer Science, IOS Press, 2007, 133–154 | MR

[4] Berthe V., Siegel A., “Tilings associated with beta-numeration and substitution”, Integers: electronic journal of combinatorial number theory, 5 (2008), A02 | MR

[5] Shutov A. V., “Obobschennye razbieniya Rozi i mnozhestva ogranichennogo ostatka”, Chebyshevskii sbornik, 20:3 (2019), 372–389 | DOI | MR | Zbl

[6] Shutov A. V., “Obobschennye razbieniya Rozi i lineinye rekurrentnye posledovatelnosti”, Chebyshevskii sbornik, 22:2 (2021), 313–333 | DOI | MR | Zbl

[7] Shutov A. V., “Trigonometricheskie summy nad odnomernymi kvazireshetkami proizvolnoi korazmernosti”, Matematicheskie zametki, 97:5 (2015), 781–793 | DOI | MR | Zbl