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Sylvester Expansions Over The Field Of P-Adic

Ruibiao Zou,Luming Shen

PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS（2008）

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Abstract
In this paper, the Sylvester expansion over the field of p-adic is studied. Strong and weak number laws, central limit theorem, and iterated logarithm law of the digits occurring in this expansion are considered. At the same time, the approximation orders by rational fractions which are the partial sums of the series are investigated.
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Sylvester expansion, P-adic field, metric properties, approximation orders
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