Upper bounds for the number of solutions of a diophantine equation

被引：11
|
作者：
Garaev, MZ [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Morelia 58089, Michoacan, Mexico
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 357卷 / 06期
关键词：
diophantine equation; Karatsuba's theorem; Konyagin's estimate;
D O I：
10.1090/S0002-9947-04-03611-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give upper bound estimates for the number of solutions of a certain diophantine equation. Our results can be applied to obtain new lower bound estimates for the L(1)- norm of certain exponential sums.
引用
收藏
页码：2527 / 2534
页数：8
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