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Journal of Mathematical Sciences

, Volume 184, Issue 6, pp 716–745 | Cite as

Exchanged toric developments and bounded remainder sets

  • V. G. Zhuravlev
Article

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.

Keywords

Special Method Fractional Part Unit Cube Multidimensional Analog Toric Development 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    V. G. Zhuravlev, “Multidimensional Hecke theorem on the distribution of fractional parts,” Algebra Analiz, 24, No. 1, 95–130 (2012).MathSciNetGoogle Scholar
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Copyright information

© Springer Science+Business Media, Inc. 2012

Authors and Affiliations

  1. 1.Vladimir State Humanitary UniversityVladimirRussia

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