5 research outputs found
On the simplest sextic fields and related Thue equations
We consider the parametric family of sextic Thue equations where
is an integer and is a divisor of . We
show that the only solutions to the equations are the trivial ones with
.Comment: 12 pages, 2 table
On the field intersection problem of quartic generic polynomials via formal Tschirnhausen transformation
Let be a field of characteristic . We give an answer to the field
intersection problem of quartic generic polynomials over via formal
Tschirnhausen transformation and multi-resolvent polynomials.Comment: 32 pages, 6 tables, to appear in Comment. Math. Univ. St. Paul