On Certain Real Bicyclic Biquadratic Fields with Class Number One and Two
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概要
- 論文の詳細を見る
Let K = Q() be the bicyclic biquadratic fields, where d_i are the integers expressed in the forms d_i=m^2+4 or m^2+1 (m∈N). Using Tatuzawa's lower bound of L-function, we shall show there are only finitely many such fields with class number one and two. Assuming the generalized Riemann Hypothesis, there exist exactly 54 real bicyclic biquadratic fields with class number one and 118 fields with class number two.
- 徳島大学の論文
- 1993-02-24
著者
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Katayama Shigeru
College Of Engineering Tokushima Bunri University
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KATAYAMA Shin-ichi
College of General Education, The University of Tokushima
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Katayama Shin-ichi
Department Of Mathematical Sciences Faculty Of Integrated Arts And Sciences The University Of Tokush
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Katayama Shin-ichi
Department Of Mathematical And Natural Sciences Faculty Of Integrated Arts And Sciences The Universi
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Katayama Shin-ichi
Department Of Mathematical And Natural Sciences Faculty Of Integrated Arts And Sciences The Universi
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Katayama Shin-ichi
Department Of Mathematical Sciences Faculty Of Integrated Arts And Sciences The University Of Tokush
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Katayama Shin-ichi
College Of General Education The University Of Tokushima
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Katayama Shin-ichi
Department Of Mathematics College Of General Education Tokushima University
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Katayama Shin-ichi
College Of General Education Niigata University
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Katayama Shin-ichi
Department Of Mathematical Sciences Faculty Of Integrated Arts And Sciences The University Of Tokush
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