A Conjecture on Fundamental Units of Real Quadratic Fields
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概要
- 論文の詳細を見る
In our previous paper [6], we have investigated a certain family of real bicyclic biquadratic fields and proved that they have an explicit fundamental sytem of units assuming the ABC conjecture. In this paper we will generalize some results of [6] and state a conjecture on the fundamental units of a certain family of real quadratic fields and give numerical examples which support this conjecture.
- 徳島大学の論文
- 2002-01-31
著者
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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
Faculty Of Integrated Arts And Sciences The University Of Tokushima
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Katayama Shin-ichi
Department Of Mathematical And Natural Sciences Faculty Of Integrated Arts And Sciences The Universi
-
Katayama Shin-ichi
Department Of Mathematical And Natural Sciences Faculty Of Integrated Arts And Sciences The Universi
-
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
Department Of Mathematical Sciences Faculty Of Integrated Arts And Sciences The University Of Tokush
関連論文
- On the units and the class numbers of certain composita of two quadratic fields
- On Certain Real Bicyclic Biquadratic Fields with Class Number One and Two
- A Remark on Partitions and Triangles
- On Partitions and k-Polygons
- On Some Formulas for π/2
- On the Structure of the Integer Solutions of z^2=(x^2-1)(y^2-l)+a
- Zeta Functions of Finite Groups and Arithmetically Equivalent Fields
- Unit Groups of Some Quartic Fields
- Several Methods for Solving Simultaneous Fermat-Pell Equations
- A Conjecture on Fundamental Units of Real Quadratic Fields
- Some Infinite Series of Fibonacci Numbers
- A Variation of Takagi's Proof for Quadratic Reciprocity Laws of Jacobi Symbols
- Generalized Goggins’s Formula for Lucas and Companion Lucas Sequences