Tagged Questions
3
votes
1answer
126 views
How can a subfield of an abelian extension fail to be cyclic when subjected to a norm-like condition. (How can I understand the supplied explanation)
I recently posted a question on MathOverflow (if you're interested it can be found here). While some answers were quickly produced there were a few points that I found confusing. I requested some ...
7
votes
3answers
397 views
Intuition regarding Chevalley-Warning Theorem
Three versions of the theorem are stated on pages 1-2 in these notes by Pete L. Clark:
http://math.uga.edu/~pete/4400ChevalleyWarning.pdf
Could anyone offer some intuitive way to think about this ...
11
votes
3answers
581 views
What is the intuition behind Gauss sums?
Let $ \chi $ be a character on the field $ F_p $, and fix some $a \in F_p $.
We define a Gauss sum to be:
$g_a (\chi) = \sum_{t\in F_p}\chi(t)\zeta^{at}$ where $\zeta$ is a primitive $p^{th}$ root of ...
