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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Some remarks concerning the number theoretic functions $ \omega (n)$ and $ \Omega (n)$


Authors: Robert E. Dressler and Jan van de Lune
Journal: Proc. Amer. Math. Soc. 41 (1973), 403-406
MSC: Primary 10H05
MathSciNet review: 0340191
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we establish a duality relation between the number theoretic functions $ \omega (n)$ and $ \Omega (n)$, and we investigate some of its consequences, one of which concerns the Riemann zeta function.


References [Enhancements On Off] (What's this?)

  • [1] G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 4th ed., Oxford Univ. Press, London, 1960.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0340191-8
PII: S 0002-9939(1973)0340191-8
Keywords: $ \omega (n),\Omega (n)$, duality relation, Riemann $ \zeta $ function
Article copyright: © Copyright 1973 American Mathematical Society