A Simple Proof of Siegel's Theorem

AUTOR(ES)

Goldfeld, Dorian M.

RESUMO

A brief and simple proof of Siegel's celebrated theorem that h(d) » d1/2-[unk], as d → ∞, 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.

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