Item 60-62 - 'Euclid's algorithm in real quadratic fields', with H. Chatland

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DAVT/D/60-62

Title

'Euclid's algorithm in real quadratic fields', with H. Chatland

Date(s)

  • 1949-50 (Creation)

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Extent and medium

38 pp.

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Name of creator

Davenport, Harold (1907-1969), mathematician
(1907-1969)

Repository

Trinity College Library, Cambridge

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Bibliog. 74
D.60: 'A Theorem proving the existence of an Euclid's Algorithm in certain real quadratic fields', by P. Varnavides. 9pp. ms. draft, with letter, 18 May 1948, re publication of paper, and 'On the Euclidean algorithm in quadratic number fields', by H. Chatland. 4pp. typescript draft, with letter, 28 May 1949, re queries made by Davenport.
D.61: 3pp. ms. notes and calculations. 4pp. ms. draft entitled '3. Proof of the Theorem'. 'The field k (√193), 5pp. typescript draft, labelled 'sent to Chatland as a model for the calculation in 74'.
D.62: 'Euclid's algorithm and the class-number', 2pp. ms. draft, and 'Euclid's algorithm in real quadratic fields', 14pp. typescript draft.

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