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A natural proof of the cyclotomic identity

Published online by Cambridge University Press:  17 April 2009

D.E. Taylor
D.E. Taylor
Affiliation:
Department of Pure Mathematics, University of Sydney, NSW 2006, Australia
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Abstract

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The cyclotomic identity

where and μ is the classical Möbius function, is shown to be a consequence of a natural isomorphism of species.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 42 , Issue 2 , October 1990 , pp. 185 - 189
Copyright
Copyright © Australian Mathematical Society 1990

References

[1]Joyal, André, ‘Une théorie combinatoire des series formelles’, Adv. in Math. 42 (1981), 1–82.CrossRefGoogle Scholar
[2]Metropolis, N. and Rota, Gian-Carlo, ‘Witt vectors and the algebra of necklaces’, Adv. in Math. 50 (1983), 95–125.CrossRefGoogle Scholar
[3]Metropolis, N. and Rota, Gian-Carlo, ‘The cyclotomic identity’, Contemporary Math. 54 (1984), 19–27.CrossRefGoogle Scholar
[4]Nelson, A. M., ‘A generalised cyclotomic identity’, University of Sydney Research Report 89–7 (1989).Google Scholar
[5]Varadarajan, K. and Wehrhahn, K., ‘Aperiodic rings, necklace rings and Witt vectors’, Adv. in Math. 81 (1990), 1–29.CrossRefGoogle Scholar