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On Fermat's and Euler's number-theoretical methods, their connections and their significance

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Publication:772629
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DOI10.1007/BF00327401zbMath0094.00302MaRDI QIDQ772629

Joseph E. Hofmann

Publication date: 1961

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)


zbMATH Keywords

cubic equationsfour cubes problemnumber-theoretic methods of Fermat and EulerPythagorean triangles: equal areaPythagorean triangles: square values of hypotenuse and sum of cathetesquartic equationssolutions in rational pairs


Mathematics Subject Classification ID

History of number theory (11-03) History of mathematics in the 17th century (01A45) History of field theory (12-03)


Related Items (3)

Historical and foundational details on the method of infinite descent: every prime number of the form \(4n+1\) is the sum of two squares ⋮ On Fermat's treatment of the four-cube problem ⋮ Arithmetic of algebraic curves from Diophantus to Poincaré






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