transfinite arithmetic, cardinal arithmetic, ordinal arithmetic
prime field, p-adic integer, p-adic rational number, p-adic complex number
arithmetic geometry, function field analogy
In number theory, the class number of a number field is the order of its ideal class group.
The Dedekind zeta function $\zeta_K$ of $K$ has a simple pole at $s = 1$. The class number formula says that its residue there is proportional the the product of the regulator with the class number of $K$
Created on August 25, 2014 at 23:50:23. See the history of this page for a list of all contributions to it.