From the history of the arithmetic of algebraic curves in the 19th century (Q2713217)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | From the history of the arithmetic of algebraic curves in the 19th century |
scientific article |
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8 May 2001
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Lagrange
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Cauchy
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Jacobi
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Sylvester
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Poincaré
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rational points
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algebraic curves
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From the history of the arithmetic of algebraic curves in the 19th century (English)
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The study of rational points on algebraic curves was begun by Poincaré in 1901. The present article studies precursors of this work by Jacobi, Sylvester, and others, beginning with Lagrange's 1777 method of finding a new rational solution for a general cubic curve in two variables using a known rational solution and Cauchy's 1826 extension of this method to three variables.
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0.7472130060195923
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