On simultaneous uniform approximation to a $p$-adic number and its square
نویسندگان
چکیده
منابع مشابه
On simultaneous uniform approximation to a p-adic number and its square
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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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2010
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-2010-10491-4