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.
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页码：269 / 287
页数：20
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