On the error term in a Parseval type formula in the theory of Ramanujan expansions
Abstract
Given two arithmetical functions f,g we derive, under suitable conditions, asymptotic formulas with error term, for the convolution sums Σn N f(n) g(n+h), building on an earlier work of Gadiyar, Murty and Padma. A key role in our method is played by the theory of Ramanujan expansions for arithmetical functions.
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