Email this article Trigonometric integrals over one-dimensional quasilattices of arbitrary codimension
- Authors: Shutov A.V.1
-
Affiliations:
- Vladimir State University
- Issue: Vol 99, No 3-4 (2016)
- Pages: 590-597
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149338
- DOI: https://doi.org/10.1134/S0001434616030329
- ID: 149338
Cite item
Open Access
Access granted
Subscription Access
Abstract
The class of one-dimensional quasilattices parametrized by translations of the torus is studied. The trigonometric integrals averaging the moduli of trigonometric sums related to quasilattices are considered for this class. Nontrivial estimates of such integrals are obtained. The relationship between trigonometric integrals and several problems in the theory of Diophantine approximations is discussed.
About the authors
A. V. Shutov
Vladimir State University
Author for correspondence.
Email: a1981@mail.ru
Russian Federation, Vladimir
Supplementary files
