A Note on the Field Isomorphism Problem of X3+sX+s and Related Cubic Thue Equations
スポンサーリンク
概要
- 論文の詳細を見る
We study the field isomorphism problem of cubic generic polynomial X3+sX+s over the field of rational numbers with the specialization of the parameter s to nonzero rational integers m via primitive solutions to the family of cubic Thue equations x3−2mx2y−9mxy2−m(2m+27)y3=λ where λ2 is a divisor of m3(4m+27)5.
著者
-
Hoshi Akinari
Department of Mathematics, Rikkyo University
-
Miyake Katsuya
Department of Mathematics, School of Fundamental Science and Engineering, Waseda University
-
Hoshi Akinari
Department Of Mathematics Rikkyo University
-
Miyake Katsuya
Department Of Mathematical Sciences School Of Science And Engineering Waseda University
関連論文
- A Note on the Field Isomorphism Problem of X3+sX+s and Related Cubic Thue Equations
- On the field intersection problem of generic polynomials : a survey (Algebraic Number Theory and Related Topics 2007)
- Leopoldt kernels and central extensions of algebraic number fields
- Did Fermat See These Structures?
- On nilpotent extensions of algebraic number fields I
- Teiji Takagi, Founder of the Japanese School of Modern Mathematics
- On the units of an algebraic number field
- Some p-groups with two generators which satisfy certain conditions arising from arithmetic in imaginary quadratic fields
- A note on the field isomorphism problem of X^3 + sX + s and related cubic thue equations (Japan-Korea joint seminar on number theory and related topics 2008)