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# A Simple Proof of Siegel's Theorem

Dorian M. Goldfeld
Proceedings of the National Academy of Sciences of the United States of America
Vol. 71, No. 4 (Apr., 1974), p. 1055
Stable URL: http://www.jstor.org/stable/63260
Page Count: 1
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## Abstract

A brief and simple proof of Siegel's celebrated theorem that h(d) ≫ d1/2-ε, as d → ∞ , is given. Here h(d) denotes the class number of the quadratic field Q($\sqrt{-d}$). Simple proofs that do not make use of algebraic number theory have been previously given by Estermann and Chowla.

• 1055