Geodesic
Factorization and congruence in the arithmetics of Cayley's algebra
Glasgow mathematical journal, Tome 33 (1991) no. 2, pp. 171-180

Voir la notice de l'article provenant de la source Cambridge University Press

This paper treats factorization and congruence in the arithmetics of Cayley's algebra C. Results, proved by Rankin [10], on the number of factorizations of a given element in the nonmaximal arithmetics Ho and Jo are reviewed. Further, new results on congruence are established and are used to find the number of factorizations of a prescribed element in the remaining arithmetics, including the maximal arithmetics Jw When computer factorizing a given element, the congruence results can be used as a heuristic device to prune the search tree. 
Lamont, P. J. C. Factorization and congruence in the arithmetics of Cayley's algebra. Glasgow mathematical journal, Tome 33 (1991) no. 2, pp. 171-180. doi: 10.1017/S001708950000820X
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