6 citations · 14 across the 5 of their papers we have counts for
5 papers
A note on the field isomorphism problem of X^3+sX+s and related cubic Thue equations
Akinari Hoshi, Katsuya Miyake
We study the field isomorphism problem of cubic generic polynomial over the field of rational numbers with the specialization of the parameter to nonzero rational in…
On the field intersection problem of quartic generic polynomials via formal Tschirnhausen transformation
Akinari Hoshi, Katsuya Miyake
Let be a field of characteristic . We give an answer to the field intersection problem of quartic generic polynomials over via formal Tschirnhausen transformation a…
On the field intersection problem of generic polynomials: a survey
Akinari Hoshi, Katsuya Miyake
Let be a field of characteristic . We survey a general method of the field intersection problem of generic polynomials via formal Tschirnhausen transformation. We annou…
On the field intersection problem of solvable quintic generic polynomials
Akinari Hoshi, Katsuya Miyake
We study a general method of the field intersection problem of generic polynomials over an arbitrary field via formal Tschirnhausen transformation. In the case of solvable quin…
A geometric framework for the subfield problem of generic polynomials via Tschirnhausen transformation
Akinari Hoshi, Katsuya Miyake
Let be an arbitrary field. We study a general method to solve the subfield problem of generic polynomials for the symmetric groups over via Tschirnhausen transformation. Ba…