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

页码：2527 / 2534

页数：8

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