On the distribution of Galois groups

Details On the distribution of Galois groups On the distribution of Galois groups

2010-10-26

arxiv.org/abs/1010.5341v1

Mathematics

Number Theory

6 pages

Scientific paper

Let $G$ be a subgroup of the symmetric group $S_n$, and let
$\delta_G=|S_n/G|^{-1}$ where $|S_n/G|$ is the index of $G$ in $S_n$. Then
there are at most $O_{n, \epsilon}(H^{n-1+\delta_G+\epsilon})$ monic integer
polynomials of degree $n$ having Galois group $G$ and height not exceeding $H$,
so there are only `few' polynomials having `small' Galois group.

Affiliated with

Also associated with

No associations

Rating

On the distribution of Galois groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the distribution of Galois groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the distribution of Galois groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-159272