On monochromatic sums of squares and primes

被引：7

作者：

Hegyvari, Norbert

Hennecart, Francois

机构：

[1] Univ St Etienne, LaMUSE, F-42023 St Etienne 02, France

[2] Eotvos Lorand Univ, Dept Math, H-1518 Budapest, Hungary

来源：

JOURNAL OF NUMBER THEORY | 2007年 / 124卷 / 02期

基金：

匈牙利科学研究基金会;

关键词：

D O I：

10.1016/j.jnt.2006.09.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a positive integer. A partition {A(k), 1 <= k <= K) of the sequence of squares being given, we consider the question of estimating the smallest number t(K) such that any large integer can be written as a sum of less than t(K) elements all taken from one of the sets A(k). The analogous question for the primes is also tackled. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：314 / 324

页数：11

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