Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593163 | Journal of Number Theory | 2016 | 6 Pages |
Abstract
Let K/Q be a non-Galois cubic extension with |dK| a power of a prime p. We prove a conjecture of Wong, namely that the number of S4-extensions of Q containing K and having discriminant a power of p is of the form 2nâ1 for some nonnegative nâZ, and that n is positive if K is totally real.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Kevin Childers, Darrin Doud,