Several Methods for Solving Simultaneous Fermat-Pell Equations
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概要
- 論文の詳細を見る
In our previous papers [12] and [13] , we have exhibited the structure of certain real bicyclic biquadratic fields and as a byproduct solved the simultaneous Fermat-Pell equations x^2-3y^2=1, y^2-2z^2=-1 have only one non-negative integer solution: (x, y, z)=(2, 1, 1). In this paper, we shall investigate similar simultaneous Fermat-Pell equations and solve them by several different methods.
- 徳島大学の論文
- 2000-01-29
著者
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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 Mahtematical 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
- 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
- FIBONACCI, LUCAS AND PELL NUMBERS AND CLASS NUMBERS OF BICYCLIC BIQUADRATIC FIELDS
- Generalized Goggins’s Formula for Lucas and Companion Lucas Sequences
- On finite simple groups of cube order
- On the Class Numbers of Real Quadratic Fields of Richaud-Degert Type
- SOME REMARKS ON EGYPTIAN FRACTIONS
- Scissors Congruence for Certain k-polygons