Name
Abstract | ||
|---|---|---|
In this paper, we propose a new variant of Waring's problem: to express a positive integer n as a sum of s positive integers whose product is a k-th power. We define, in a similar way to that done for g(k) and G(k) in Waring's problem, numbers g'(k) and G'(k). We obtain g'(k) = 2k - 1, G'(p) <= p + 1 for primes p, G'(2p) <= 2p + 2 for odd primes p. Moreover, we obtain several interesting results and make two conjectures about G'(3) and G'(4). |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1090/S0025-5718-2013-02685-3 | MATHEMATICS OF COMPUTATION |
Field | DocType | Volume |
Mathematical optimization,Algebra,Mathematics | Journal | 82 |
Issue | ISSN | Citations |
284 | 0025-5718 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tianxin Cai | 1 | 0 | 0.34 |
| Deyi Chen | 2 | 0 | 0.34 |