The Class Number Formula and Gauss' Class Number Problem

Specialeforsvar ved Ulrik Christensen

Titel: The Class Number Formula and Gauss' Class Number Problem

Abstract: This thesis is an investigation of the theory concerning the class number of a number field. The first step will be to derive the class number formula, which is a valuable tool in algebraic number theory. Following a paper by Stark, this formula is then utilized to solve Gauss’ class number problem for imaginary quadratic fields. It will also be discussed how these results generalize to orders in number fields.

Vejleder: Ian Kiming
Censor: Tom Høholdt