paper
On the error term in a Parseval type formula in the theory of Ramanujan expansions
M. Ram Murty, Biswajyoti Saha
On the error term in a Parseval type formula in the theory of Ramanujan expansions
M. Ram Murty, Biswajyoti Saha
Paper2015-06-05English
game theory economicsarxiv
Description
Given two arithmetical functions $f,g$ we derive, under suitable conditions, asymptotic formulas with error term, for the convolution sums $\sum_{n \le N} f(n) g(n+h)$, 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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