On simultaneous uniform approximation to a p-adic number and its square
نویسنده
چکیده
Let p be a prime number. We show that a result of Teulié is nearly best possible by constructing a p-adic number ξ such that ξ and ξ are uniformly simultaneously very well approximable by rational numbers with the same denominator. The same conclusion was previously reached by Zelo in his PhD thesis, but our approach using p-adic continued fractions is more direct and simpler.
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تاریخ انتشار 2010