A Simple Proof of Siegel's Theorem | Zendy

Dorian Goldfeld | Zendy

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A Simple Proof of Siegel's Theorem

Author(s) -

Dorian Goldfeld

Publication year - 1974

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.71.4.1055

Subject(s) - simple (philosophy) , mathematical proof , mathematics , class (philosophy) , algebraic number , analytic proof , combinatorics , combinatorial proof , discrete mathematics , calculus (dental) , computer science , mathematical analysis , philosophy , medicine , dentistry , geometry , epistemology , artificial intelligence

A brief and simple proof of Siegel's celebrated theorem thath(d) »d 1/2-[unk] , asd → ∞, is given. Hereh(d) denotes the class number of the quadratic fieldQ ([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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