Lagrange-like spectrum of perfect additive complements

被引：0

作者：

Barany, Balazs ^{[1
]}

Fang, Jin-Hui ^{[4
]}

Sandor, Csaba ^{[1
,2
,3
]}

机构：

[1] Budapest Univ Technol & Econ, Inst Math, Dept Stochast, H-1111 Budapest, Hungary

[2] Budapest Univ Technol & Econ, Dept Comp Sci & Informat Theory, H-1111 Budapest, Hungary

[3] MTA BME Lendulet Arithmet Combinator Res Grp, ELKH, H-1111 Budapest, Hungary

[4] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China

来源：

ACTA ARITHMETICA | 2024年 / 212卷 / 03期

基金：

中国国家自然科学基金;

关键词：

additive complements; Lagrange spectrum; Lebesgue measure;

D O I：

10.4064/aa230224-10-10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two infinite sets A and B of non-negative integers are called perfect additive complements of non-negative integers if every non-negative integer can be uniquely expressed as the sum of elements from A and B. We define a Lagrange-like spectrum of the perfect additive complements (L for short). As a main result, we obtain the smallest accumulation point of the set L and prove that L is closed.

引用

页码：269 / 287

页数：20

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