We look at a special case of a familiar problem: Given a locally compact group G, a subgroup H and a complex representation π + of G how does π + decompose on restriction to H .
Abstract. We derive certain identities involving various known arithmetical functions and a generalized version of Ramanujan sum. L. Tóth constructed certain weighted averages of Ramanujan sums with various arithmetic functions as weights. We choose a generalization of Ramanujan sum given by E. Cohen and derive the weighted averages corresponding to the versions of the weighted averages established by Tóth.
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