A one-sentence proof that every prime p \\equiv 1\\pmod 4 is a sum of two 
squares.

Zagier, Don

doi:10.2307/2323918

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A one-sentence proof that every prime p \\equiv 1\\pmod 4 is a sum of two squares.

Zagier, D. (1990). A one-sentence proof that every prime p \\equiv 1\\pmod 4 is a sum of two squares. American Mathematical Monthly, 97(2), 144. doi:10.2307/2323918.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-3932-4 Version Permalink: https://hdl.handle.net/21.11116/0000-0004-3933-3

Genre: Journal Article

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Zagier, Don¹, Author

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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201

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Abstract: The one sentence defines an involution, on the set S=(x,y,z)\\in \\Bbb N\\sp 3 : x\\sp 2+4yz=p, whose fixed point gives a representation of p as the sum of squares (but only implicitly).\\par [See the following review.].

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Dates: Date issued: 1990

Publication Status: Issued

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Rev. Type: Internal

Identifiers: eDoc: 744940
Other: 111
DOI: 10.2307/2323918
URI: https://www.jstor.org/stable/2323918

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Title: American Mathematical Monthly

Source Genre: Journal

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Publ. Info: The Mathematical Association of America, Washington, DC

Pages: - Volume / Issue: 97 (2) Sequence Number: - Start / End Page: 144 Identifier: ISSN: 0002-9890