Note on a diophantine inequality in several variables

Authors
Barton, JT Montgomery, HL Vaaler, JD
Citation
Jt. Barton et al., Note on a diophantine inequality in several variables, P AM MATH S, 129(2), 2000, pp. 337-345
Citations number
5
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
2
Year of publication
2000
Pages
337 - 345
Database
ISI
SICI code
0002-9939(2000)129:2<337:NOADII>2.0.ZU;2-#
Abstract
We establish estimates for the number of points that belong to an aligned b ox in (R/Z)(N) in terms of certain exponential sums. These generalize previ ous results that were known only in case N = 1.