19 citations · 81 across the 44 of their papers we have counts for
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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 correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields
Akinari Hoshi
Let be an integer. We give a correspondence between integer solutions to the parametric family of cubic Thue equations \[ X^3-mX^2Y-(m+3)XY^2-Y^3=λ\] where is a di…
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…