Geodesic
Factorization and arithmetic functions for orders in composition algebras
Glasgow mathematical journal, Tome 14 (1973) no. 1, pp. 86-95

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

A well-known product, referred to as the Dirichlet convolution product, is generalized to arithmetic functions defined on an order in a Cayley division algebra. Factorization results for orders, multiplicative functions and analogues of the Moebius inversion formula are discussed. 
Lamont, P. J. C. Factorization and arithmetic functions for orders in composition algebras. Glasgow mathematical journal, Tome 14 (1973) no. 1, pp. 86-95. doi: 10.1017/S0017089500001786
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Jacobson, N., Composition algebras and their automorphisms, Rend. Circ. Mat. Palermo 7 (1958), 55–80. Google Scholar | DOI

Lamont, P. J. C., On arithmetics in Cayley's algebra and multiplicative functions, Thesis, Glasgow (1962). Google Scholar

Lamont, P. J. C., Arithmetics in Cayley's algebra, Proc. Glasgow Math. Assoc. 6 (1963), 99–106. Google Scholar | DOI

Rankin, R. A., A certain class of multiplicative functions, Duke Math. J.. 13 (1946), 281–306. Google Scholar | DOI

van de Blij, F. and Springer, T. A., The arithmetics of the octaves and of the group G Nederl Akad Wetensch Proc. 62 A (1959), 406–418. Google Scholar | DOI

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