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A NOTE ON A CLASS OF SUBMULTIPLICATIVE FUNCTIONS

Published online by Cambridge University Press:  19 May 2004

P. SURYA MOHAN
P. SURYA MOHAN
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur, West Bengal 721302, India e-mail: [email protected]
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Abstract

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In 1989, Alladi, Erdös and Vaaler confirmed their own conjecture about a class of multiplicative functions by means of a deep result of Baranyai on hypergraphs. In this note we give a simple direct proof of the result which is derived in their proof as a consequence of the above mentioned graph theoretic result.

Keywords

11N64
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 2 , May 2004 , pp. 237 - 238
Copyright
2004 Glasgow Mathematical Journal Trust