Diophantine Approximation in Prescribed Degree
نویسندگان
چکیده
منابع مشابه
Diophantine Approximation in Small Degree
Here, the exponent of q in the upper bound is optimal because, when ξ has bounded partial quotients, there is also a constant c > 0 such that |ξ − p/q| ≥ cq for all rational numbers p/q (see Chapter I of [14]). Define the height H(P ) of a polynomial P ∈ R[T ] as the largest absolute value of its coefficients, and the height H(α) of an algebraic number α as the height of its irreducible polynom...
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ژورنال
عنوان ژورنال: Moscow Mathematical Journal
سال: 2018
ISSN: 1609-3321,1609-4514
DOI: 10.17323/1609-4514-2018-18-3-491-516