Some aspects of Davenport's work
L. Mordell (1971)
Acta Arithmetica
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L. Mordell (1971)
Acta Arithmetica
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L. Mordell (1971)
Acta Arithmetica
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Tatiana Lavrinenko (2002)
Revue d'histoire des mathématiques
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This article concerns the problem of solving diophantine equations in rational numbers. It traces the way in which the 19th century broke from the centuries-old tradition of the purely algebraic treatment of this problem. Special attention is paid to Sylvester’s work “On Certain Ternary Cubic-Form Equations” (1879–1880), in which the algebraico-geometrical approach was applied to the study of an indeterminate equation of third degree.
C. Rogers (1971)
Acta Arithmetica
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(1973)
Acta Arithmetica
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W. Ljunggren (1971)
Acta Arithmetica
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(1964)
Acta Arithmetica
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Della D. Fenster (1999)
Revue d'histoire des mathématiques
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In 1911, the research mathematician Leonard Dickson embarked on a study of the theory of numbers which culminated in the publication of his three-volume . This paper discusses the genesis of this work, the historiographic style revealed therein, and the mathematical contributions which arose out of it.
(1974)
Acta Arithmetica
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