On an Additive Problem with Squarefree Numbers

被引：0

作者：

Goryashin, D., V ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Leninskie Gory 1, Moscow 199991, Russia

来源：

IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA | 2013年 / 13卷 / 04期

关键词：

ternary problem; squarefree numbers; asymptotic formula;

D O I：

10.18500/1816-9791-2013-13-4-41-47

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An asymptotic formula for the number of representations of a positive integer N in the form q(1)+ q(2) + [alpha q(3)] is obtained, where q(1) , q(2) , q(3) are squarefree numbers and alpha > 1 is a fixed irrational algebraic number.

引用

页码：41 / 47

页数：8

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