Generalized Bracket Function Inverse Pairs
نویسنده
چکیده
The aim of this paper is to prove the existence of inverse pairs for a certain class of numbertheoretic functions. An application of the result is also illustrated. The motivation comes from the study of functions such as Ck(n)= £ l and **(»)= I 1 • a>\ (ah...,ak) = l Gould [1] showed that Ck(n) = Hd\nRk(d) and that i^(/0 has an inverse. In [5] a pair of functions similarly related is also studied and similar results obtained. We start our investigation by giving the following theorem due to Gould [2].
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تاریخ انتشار 1997