Trigonometric sums over one-dimensional quasilattices of arbitrary codimension

DOI10.1134/S0001434615050144zbMath1331.11062MaRDI QIDQ745619

A. V. Shutov

Publication date: 14 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

codimensiontrigonometric sumKoksma-Hlawka inequalitybounded remainder setquasilatticeorbit structureaveraged lattice valuetiling of the torusWeyl's uniform distribution theorem

Mathematics Subject Classification ID

Trigonometric and exponential sums (general theory) (11L03)

Related Items (2)

Trigonometric integrals over one-dimensional quasilattices of arbitrary codimension ⋮ Convex polyhedra with deltoidal vertices

Cites Work

• The spectrum of one-dimensional quasilattices
• Sequences, discrepancies and applications
• One-dimensional quasiperiodic tilings admitting progressions enclosure
• Distribution of points of one-dimensional quasilattices with respect to a variable module
• Bounded remainder polyhedra
• Multidimensional Hecke theorem on the distribution of fractional parts
• Fibonacci-even numbers: Binary additive problem, distribution over progressions, and spectrum
• Nombres algébriques et substitutions
• Renormalization on the n-dimensional torus
• Тригонометрические суммы над одномерными квазирешетками произвольной коразмерности
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