Name
Abstract | ||
|---|---|---|
Let A be a set of natural numbers, and let [ A ] h denote the set of all least common multiples [ a 1 ,…, a h ] with a i εA . If nε [ A ] h for all sufficiently large integers n , then A is an asymptotic LCM basis of order h . If n ∉[ A ] h for infinitely many n ⩾1, then A is an asymptotic LCM nonbasis of order h . The nonbasis A is maximal if A ∪{ b } is an asymptotic LCM basis of order h for every natural number b ∉ A . In this paper the structure of all maximal asymptotic LCM bases of order h is determined. |
Year | DOI | Venue |
|---|---|---|
1987 | 10.1016/0012-365X(87)90191-9 | Discrete Mathematics |
Keywords | Field | DocType |
common multiple,extremal problem | Integer,Discrete mathematics,Combinatorics,Natural number,Least common multiple,Factorization,Partition (number theory),Asymptotic analysis,Mathematics | Journal |
Volume | Issue | ISSN |
64 | 2-3 | Discrete Mathematics |
Citations | PageRank | References |
1 | 0.43 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. B. Nathanson | 1 | 1 | 0.77 |