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This tag is used if a reference is needed in a paper or textbook on a specific result.
10
votes
Accepted
Numbers divisible only by primes of the form 4k+1
Yes, $A(X) = cX/\sqrt{\log(X)} + O(X/\log^{3/2}(X))$ for a positive real number $c$ which I think is 1 (edit: This remark on the constant was just a vague recollection which is wrongly remembered as i …
8
votes
Accepted
Intersection of Hilbert class fields of imaginary quadratic fields
The generalization of the phenomena you see is genus theory. If $K = \mathbf{Q}(\sqrt{-d})$ and $H = K(j_d)$ then $H$ contains the Genus field $G$.
If $d = \prod_{i=1}^n p_i$ is squarefree (and odd f …
16
votes
Roadmap for studying arithmetic geometry
An apology first: This is more a supplement to Charles' answer than an answer itself. This was originally a set of comments, but I was not able to format the comments so as to be readable.
"Arithmeti …