Multidimensional Hecke theorem on the distribution of fractional parts

DOI10.1090/S1061-0022-2012-01232-XzbMath1273.11121MaRDI QIDQ2849048

V. G. Zhuravlev

Publication date: 16 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hecke theorembounded remainder sets on the torusfractional parts distributionmean values of deviation functions

Mathematics Subject Classification ID

Small fractional parts of polynomials and generalizations (11J54) Irregularities of distribution, discrepancy (11K38) Diophantine approximation in probabilistic number theory (11K60)

Related Items (15)

Exchanged toric tilings, Rauzy substitution, and bounded remainder sets ⋮ Bounded remainder sets on a double covering of the Klein bottle ⋮ Trigonometric integrals over one-dimensional quasilattices of arbitrary codimension ⋮ Differentiation of induced toric tiling and multidimensional approximations of algebraic numbers ⋮ Bounded remainder sets ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Embeddings of circular orbits and the distribution of fractional parts ⋮ Induced bounded remainder sets ⋮ Convex polyhedra with deltoidal vertices ⋮ The distribution of integers in a totally real cubic field ⋮ Unimodularity of induced toric tilings ⋮ Bounded remainder sets under torus exchange transformations ⋮ Trigonometric sums over one-dimensional quasilattices of arbitrary codimension ⋮ Symmetrization of bounded remainder sets

Cites Work

• Rauzy tilings and bounded remainder sets on the torus
• Balance properties of multi-dimensional words
• Über die Verteilung der Vielfachen einer komplexen Zahl nach dem Modul des Einheitsquadrats
• Bounded remainder sets
• Unnamed Item
• Unnamed Item
• Unnamed Item

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