We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Trigonometric sums over one-dimensional quasilattices of arbitrary codimension.
- Authors
Shutov, A.
- Abstract
A new class of one-dimensional quasilattices parametrized by the translations of the torus is introduced. For this class, parameter-dependent trigonometric sums over points of quasilattice are considered. Nontrivial estimates of the trigonometric sums under consideration are obtained. For a number of trigonometric sums of special form, asymptotic formulas are derived. It is proved that the distribution of points of quasilattices is uniform modulo h for almost all h. Earlier similar results were obtained in the particular case of quasilattices parametrized by the rotations of the circle.
- Subjects
TRIGONOMETRIC sums; WEYL theory of boundary value problems; QUASICRYSTALS; MATHEMATICAL models; LATTICE theory
- Publication
Mathematical Notes, 2015, Vol 97, Issue 5/6, p791
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434615050144