Note on a diophantine inequality in several variables

被引:29
作者
Barton, JT [1 ]
Montgomery, HL
Vaaler, JD
机构
[1] Birmingham So Coll, Dept Math, Birmingham, AL 35254 USA
[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
[3] Univ Texas, Dept Math, Austin, TX 78712 USA
关键词
D O I
10.1090/S0002-9939-00-05795-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We establish estimates for the number of points that belong to an aligned box in (R/Z)(N) in terms of certain exponential sums. These generalize previous results that were known only in case N = 1.
引用
收藏
页码:337 / 345
页数:9
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BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 12 (02) :183-216
[5]  
Vinogradov IM., 2004, METHOD TRIGONOMETRIC