On the field intersection problem of quartic generic polynomials via formal Tschirnhausen transformation

Details On the field intersection problem of quartic generic polynomials via formal Tschirnhausen transformation On the field intersection problem of quartic generic polynomials via formal Tschirnhausen transformation

2008-12-28

arxiv.org/abs/0812.4807v3

Mathematics

Number Theory

32 pages, 6 tables, to appear in Comment. Math. Univ. St. Pauli

Scientific paper

Let $k$ be a field of characteristic $\neq 2$. We give an answer to the field
intersection problem of quartic generic polynomials over $k$ via formal
Tschirnhausen transformation and multi-resolvent polynomials.

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