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ABSTRACT ASSISTED by M. Laisant, the author has put into an interesting and occasionally novel form the elementary theory of congruences, indices, and residues of powers. He has also given
various examples of the use of Galois's imaginary units, and of the solution of cubic congruences by means of Cardan's formula. There is nothing essentially new in the book, but is
entertaining as the work of an amateur who has looked at the subiect in an independent way, and has occasionally put the facts into an unusually vivid form, for instance when he gives a
chess-board diagram showing the solutions of x2+y2lll2 (mod 5), and so on. Arithmétique graphique. Introduction à l'Étude des Fonctions arithmétiques. By G. Arnoux. Pp. xx+226. (Paris:
Gauthier-Villars, 1906.) Price 7.50 francs. ARTICLE PDF RIGHTS AND PERMISSIONS Reprints and permissions ABOUT THIS ARTICLE CITE THIS ARTICLE _Arithmétique graphique. Introduction à
l'Étude des Fonctions arithmétiques_ . _Nature_ 75, 319 (1907). https://doi.org/10.1038/075319a0 Download citation * Issue Date: 31 January 1907 * DOI: https://doi.org/10.1038/075319a0
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