Some properties of specially multiplicative functions |
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| Authors: | Don Redmond R Sivaramakrishnan |
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| Institution: | Department of Mathematics, Southern Illinois University, Carbondale, Illinois 62901 USA;Department of Mathematics, University of Calicut, Kerala, India 673635 |
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| Abstract: | In this paper we study some of the properties of specially multiplicative functions, which are multiplicative functions satisfying the identity (1.2). We define the norm of a specially multiplicative function (see (2.5)) and study its properties. We give several Dirichlet series identities involving specially multiplicative functions and close with a generalization of the Busche-Ramanujan identity. |
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