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

共 50 条

[21] On additive complements. III
Fang, Jin-Hui
Chen, Yong-Gao
JOURNAL OF NUMBER THEORY, 2014, 141 : 83 - 91
[22] Double auction for trading perfect complements
Chaturvedi, Rakesh
Pandey, Ashish Kumar
JOURNAL OF PUBLIC ECONOMIC THEORY, 2024, 26 (01)
[23] ON ADDITIVE COMPLEMENTS. II
Chen, Yong-Gao
Fang, Jin-Hui
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (03) : 881 - 883
[24] A report on additive complements of the squares
Ramana, DS
NUMBER THEORY AND DISCRETE MATHEMATICS, 2002, : 161 - 167
[25] On perfect matchings of complements of line graphs
Liu, Xiaoping
An, Xinhui
Wu, Baoyindureng
ARS COMBINATORIA, 2009, 90 : 45 - 54
[26] On the additive hexagon numbers complements
Li chao
Yang Cundian
Research on Smarandache Problems in Number Theory (Vol II), Proceedings, 2005, : 71 - 74
[27] On Additive Complements with Special Structures
Mohan
Patil, Bhuwanesh Rao
Pandey, Ram Krishna
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2025, 22 (03)
[28] On minimal additive complements of integers
Kiss, Sandor Z.
Sandor, Csaba
Yang, Quan-Hui
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2019, 162 : 344 - 353
[29] On additive complements. IV
Chen, Yong-Gao
Fang, Jin-Hui
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2020, 171
[30] MERGERS OF PRODUCERS OF PERFECT COMPLEMENTS COMPETING IN PRICE
GAUDET, G
SALANT, SW
ECONOMICS LETTERS, 1992, 39 (03) : 359 - 364

← 1 2 3 4 5 →