English

On the field intersection problem of solvable quintic generic polynomials

Number Theory 2009-06-23 v2

Abstract

We study a general method of the field intersection problem of generic polynomials over an arbitrary field kk via formal Tschirnhausen transformation. In the case of solvable quintic, we give an explicit answer to the problem by using multi-resolvent polynomials.

Keywords

Cite

@article{arxiv.0804.4875,
  title  = {On the field intersection problem of solvable quintic generic polynomials},
  author = {Akinari Hoshi and Katsuya Miyake},
  journal= {arXiv preprint arXiv:0804.4875},
  year   = {2009}
}

Comments

27 pages, 4 tables, to appear in Int. J. Number Theory

R2 v1 2026-06-21T10:36:14.975Z