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The Spiral of Theodorus and Sums of Zeta-values at the Half-integers

✍ Scribed by David Brink

Book ID: 115528009
Publisher: Mathematical Association of America
Year: 2012
Tongue: English
Weight: 230 KB
Volume: 119
Category: Article
ISSN: 0002-9890
DOI: 10.4169/amer.math.monthly.119.09.779

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a b s t r a c t Theodorus of , teacher of Plato und Theaetetus, is known for his proof of the irrationality of ## √ n, n = 2, 3, 5, . . . , 17. He may have known also of a discrete spiral, today named after him, whose construction is based on the square roots of the numbers n = 1, 2, 3, . . .. Th