Bounded remainder sets on a two-dimensional torus
Čebyševskij sbornik, Tome 12 (2011) no. 4, pp. 15-23.

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A. A. Abrosimova. Bounded remainder sets on a two-dimensional torus. Čebyševskij sbornik, Tome 12 (2011) no. 4, pp. 15-23. http://geodesic.mathdoc.fr/item/CHEB_2011_12_4_a1/

[1] Abrosimova A. A., “Srednie znacheniya otklonenii dlya raspredeleniya tochek na tore”, Nauchnye vedomosti BelGU. Seriya: Matematika, Fizika, 26:5(124) (2012) (to appear)

[2] Zhuravlev V. G., “Razbieniya Rozi i mnozhestva ogranichennogo ostatka”, Zapiski nauchnykh seminarov POMI, 322, 2005, 83–106 | MR | Zbl

[3] Zhuravlev V. G., “Mnogomernoe obobschenie teoremy Gekke”, Algebra i analiz, 24:1 (2012), 1–33

[4] Shutov A. V., “Optimalnye otsenki v probleme raspredeleniya drobnykh dolei na mnozhestvakh ogranichennogo ostatka”, Vestnik SamGU. Estestvennonauchnaya seriya, 5:3 (2007), 112–121 | MR

[5] Hecke E., “Eber Analytische Funktionen und die Verteilung von Zahlen mod eins”, Math. Sem. Hamburg. Univ., 1 (1921), 54–76 | DOI

[6] Kesten H., “On a conjecture of Erdös and Szüsz related to uniform distribution mod 1”, Acta Arithmetica, 12 (1966), 193–212 | MR | Zbl

[7] Liardet P., “Regularities of distribution”, Compositio Math., 61 (1987), 267–293 | MR | Zbl

[8] Rauzy G., “Nombres algébriques et substitutions”, Bull. Soc. Math. France, 110 (1982), 147–178 | MR | Zbl

[9] Szüsz R., “Über die Verteilung der Vielfachen einer komplexen Zahl nach dem Modul des Einheitsquadrats”, Acta Math. Acad. Sci. Hungar., 5 (1954), 35–39 | DOI | MR

[10] Weyl H., “Über die Gibbs'sche Erscheinung und verwandte Konvergenzphänomene”, Rendicontidel Circolo Mathematico di Palermo, 30 (1910), 377–407 | DOI | Zbl