Exchanged toric developments and bounded remainder sets
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 26, Tome 392 (2011), pp. 95-145 Cet article a éte moissonné depuis la source Math-Net.Ru

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Using exchanged toric developments we construct toric tilings into bounded remainder sets. For this two methods are applied. There are a stretch of the unit cubes and a general method of multiplication of the toric developments. A multi-dimensional analogue of the Hecke theorem on the distribution of fraction parts is proved.
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     title = {Exchanged toric developments and bounded remainder sets},
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V. G. Zhuravlev. Exchanged toric developments and bounded remainder sets. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 26, Tome 392 (2011), pp. 95-145. http://geodesic.mathdoc.fr/item/ZNSL_2011_392_a5/

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