Effective simultaneous approximation of complex numbers by conjugate algebraic integers
نویسندگان
چکیده
منابع مشابه
Effective simultaneous approximation of complex numbers by conjugate algebraic integers
We study effectively the simultaneous approximation of n − 1 different complex numbers by conjugate algebraic integers of degree n over Z( √ −1). This is a refinement of a result of Motzkin [2] (see also [3], p. 50) who has no estimate for the remaining conjugate. If the n−1 different complex numbers lie symmetrically about the real axis, then Z( √ −1) can be replaced by Z. In Section 1 we prov...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1993
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-63-4-325-334