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Jun 22, 2014 at 17:18 comment added Will Jagy Jeremy, please also see mathoverflow.net/questions/172432/…
Jun 22, 2014 at 16:25 comment added Will Jagy Jeremy, see mathoverflow.net/questions/144544/… The 1954 article of Briggs is ``elementary''
Jun 22, 2014 at 12:10 comment added David E Speyer To get nontrivial classes in the class group, start with an ideal $A$ representing the inverse of the class you want. Elements of $A$ modulo units are in bijection with ideals of class $A^{-1}$ (the bijection is $\alpha \mapsto \alpha A^{-1}$). Choose an integer basis $(x_1, \ldots, x_n)$ of $A$. Then prime ideals of class $A^{-1}$ correspond to prime values of the polynomial $N(\sum a_i x_i)/N(A)$.
Jun 22, 2014 at 11:52 history answered Jeremy Rouse CC BY-SA 3.0