A Simple Proof of Siegel's Theorem.
A brief and simple proof of Siegel's celebrated theorem that h(d) >> d(1/2-[unk]), as d --> infinity, is given. Here h(d) denotes the class number of the quadratic field Q([unk]-d). Simple proofs that do not make use of algebraic number theory have been previously given by Estermann and Chowla.
Goldfeld
D M
DM
The Institute for Advanced Study, Princeton, New Jersey 08540.