Critical numbers of intervals

JOURNAL OF NUMBER THEORY

卷:166

Article

Chen, Yong-Gao¹ 

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

关键词: Critical numbers;    Natural intervals;    Sequences of integers;   

DOI  :  10.1016/j.jnt.2016.02.027

来源: Elsevier

【 摘 要 】

In 2014, Herzog, Kaplan and Lev introduced the critical numbers cr(r, n) of natural intervals [r, n] and determined the values of cr(1, n) and cr(2, n) for all n, and for r >= 3, they determined the values of cr(r,n) for n <= (3r(2) + 3r)/2 and n >= (5r(2) +r)/2, In this note, we determine the remaining values of cr(r,n) for r >= 3. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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