Exchanged toric developments and bounded remainder sets
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Using exchanged toric developments, we construct tilings of toric by bounded remainder sets. To this end, two special methods for stretching the unit cubes and a general method for multiplying toric developments are used. A multidimensional analog of Hecke’s theorem on the distribution of fractional parts is proved. Bibliography: 7 titles.
KeywordsSpecial Method Fractional Part Unit Cube Multidimensional Analog Toric Development
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