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Macau Periodical Index (澳門期刊論文索引)
- Author
- Ma, Chao
- Title
- Metric properties of diophantine approximation inＺ[ω]
- Journal Name
- 澳門科技大學學報
- Pub. Info
- Dec. 2010, Vol.4, No.2, pp. 111-115
- Keyword
- Matric properties；Eisenstein integers；Eisenstein rationals；Diophantine approximation
- Abstract
- Abstract : Suppose the Eisenstein integers are defined as the set Ζ﹝ω﹞=｛p1+p2ω: p1,P2εΖ｝, where ω=1/2(-1+√3i). These forms a ring (in fact a unique factorisation domain). The Eisenstein rationals are defined as the set Q﹝ω﹞=｛a/b +c/dw : a/b, c/d εQ｝. In this paper,