An improvement of an extension of a theorem of Erdos and Fuchs

被引：10

作者：

Horváth, G

机构：

[1] Positron Emission Tomograph Centre Damjanich,

来源：

ACTA MATHEMATICA HUNGARICA | 2004年 / 104卷 / 1-2期

关键词：

additive number theory; general sequences; approximation of the representation function;

D O I：

10.1023/B:AMHU.0000034360.41926.5a

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Montgomery an Vaughan improved a theorum of Erdos and Fuchs for an arbitrary sequence. Sarkozy extended this theorem of Erdos and Fuchs for two arbitrary sequences which are "near" in a certain sense. Using the idea of Jurkat (differentiation of the generating function), we will extend similarly the result of Montgomery and Vaughan for "sufficiently near" sequences.

引用

页码：27 / 37

页数：11