G-Closed fields and imbeddings of quadratic number fields
نویسندگان
چکیده
منابع مشابه
Real Quadratic Number Fields
a4 + 1 a5 + .. . will see that a less wasteful notation, say [ a0 , a1 , a2 , . . . ] , is needed to represent it. Anyone attempting to compute the truncations [ a0 , a1 , . . . , ah ] = ph/qh will be delighted to notice that the definition [ a0 , a1 , . . . , ah ] = a0 + 1/[ a1 , . . . , ah ] immediately implies by induction on h that there is a correspondence ( a0 1 1 0 ) ( a1 1 1 0 ) · · · (...
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The first mathematician who studied quaternion extensions (H8-extensions for short) was Dedekind [6]; he gave Q( √ (2 + √ 2)(3 + √ 6) ) as an example. The question whether given quadratic or biquadratic number fields can be embedded in a quaternion extension was extensively studied by Rosenblüth [32], Reichardt [31], Witt [36], and Damey and Martinet [5]; see Ledet [19] and the surveys [15] and...
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CONTENTS We develop a method to compute the Hermite-Humbert con1 . Introduction stants 7 K n of a real quadratic number field K, the analogue of the 2. Bounds for Minimal Vectors of Humbert Forms classical Hermite constant 7 n when Q is replaced by a quadratic 3. Examples extension. In the case n = 2, the problem is equivalent to the deReferences termination of lowest points of fundamental doma...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1976
ISSN: 0022-314X
DOI: 10.1016/0022-314x(76)90022-6