On the orders and genera of quadratic forms containing more than three indeterminates.

Descripción

218 x 139 mm. 8vo. Pages 197-208. [Entire issue: 189-228 pp.] Original printed wrappers. Fine. "After graduating [from Oxford University], Smith published a few short papers on number theory and geometry but soon turned to an intensive study of Gauss, Dirichlet, Eisenstein, and other writers on number theory. His reports to the British Association between 1859 and 1865, which contain much original work, were the outcome of this study. He presented important papers to the Royal Society on systems of linear indeterminate equations and congruences, and established a general theory of n-ary quandratics permitting the derivation of theorems on expressing any positive integer as the sum of five and seven squares. (Eisenstein had proved the theorem for three squares, and Jacobi for two, four, and six.) Smith's general theory with n indeterminates has been described by J. W. L. Glaisher as possibly the greatest advance made between the publication of Gauss's Disquisitiones arithmeticae (1801) and Smith's time." DSB, XII, p. 469.

N° de ref. del artículo S3278

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Título

On the orders and genera of quadratic forms containing more than three indeterminates.

Editor

Proceedings of the Royal Society, Vol. XVI, No. 97, (1868)., In:

Fecha de publicación

1868

Encuadernación

Encuadernación de tapa blanda

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• Mathematics