1. The difference basis and bi-basis of
- Author
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Chen, Yong-Gao and Sun, Tang
- Subjects
- *
ALGEBRAIC number theory , *REPRESENTATIONS of algebras , *DIFFERENCE sets , *BASES (Linear topological spaces) , *ADDITIVE functions , *MATHEMATICS - Abstract
Abstract: Text: For each positive integer m, let , , where and A is a subset of . Recently Chen proved that for each positive integer m, there exists a set such that and for any . In this paper, the following results are proved: (i) for each positive integer m, there exists a set such that and for all with at most 3 exceptions; (ii) for each positive integer m, there exists a set with and such that and for all with at most 3 exceptions. Video: For a video summary of this paper, please click here or visit http://www.youtube.com/watch?v=GfZ07Fg5qXE. [Copyright &y& Elsevier]
- Published
- 2010
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