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Sylvester Expansions over the Field of P-adic

机译:西尔维斯特在P-adic领域的扩张

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摘要

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.
机译:本文研究了Sylvester在p-adic领域的扩展。考虑在此扩展中出现的数字的强数和弱数定律,中心极限定理和迭代对数定律。同时,研究了有理分数的逼近阶数,该有理数分数是级数的部分和。

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