Generalized Goggins’s Formula for Lucas and Companion Lucas Sequences
スポンサーリンク
概要
- 論文の詳細を見る
In our previous papers, we have generalized Goggins’s formulagiven in [1] into two different directions [2] and [3]. In this paper,we shall give a more generalized formula which combine the resultsin [2] and those in [3]. Our formula (6) involves our previous results(4), (5) and also Goggins’s formula (1) as its special cases. Furthermorewe shall give another formula (8) which is a generalization ofa formula obtained in [2] too.
- 徳島大学の論文
著者
-
Katayama Shin-ichi
Department Of Mathematical Sciences Faculty Of Integrated Arts And Sciences The University Of Tokush
-
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
-
Katayama Shin-ichi
College Of General Education The University Of Tokushima
-
Katayama Shin-ichi
Department Of Mathematics College Of General Education Tokushima University
-
Katayama Shin-ichi
Department Of Mahtematical Sciences Faculty Of Integrated Arts And Sciences The University Of Tokush
-
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
- 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