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Erschienen in:
2004 | OriginalPaper | Buchkapitel
Representing numbers as sums of two squares
verfasst von : Martin Aigner, Günter M. Ziegler
Erschienen in: Proofs from THE BOOK
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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This question is as old as number theory, and its solution is a classic in the field. The “hard” part of the solution is to see that every prime number of the form 4m + 1 is a sum of two squares. G. H. Hardy writes that this two square theorem of Fermat “is ranked, very justly, as one of the finest in arithmetic.” Nevertheless, one of our Book Proofs below is quite recent.