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.
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页码：27 / 37
页数：11
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