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Factorization and arithmetic functions for orders in composition algebras

Published online by Cambridge University Press:  18 May 2009

P. J. C. Lamont
P. J. C. Lamont
Affiliation:
St. Mary'S College, and University of Notre Dame, Notre Dame, Indiana, 46556
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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 14 , Issue 1 , February 1973 , pp. 86 - 95
Copyright
Copyright © Glasgow Mathematical Journal Trust 1973

References

REFERENCES

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