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On Ramanujan-Fourier expansions
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classification
math.NT
keywords
expansionsramanujan-fourieranswerconvolutionexpectedheuristicallynormalizedproduce
abstract
We heuristically study the shifted convolution $\sum_{n\le X} \tau_k(n) \tau_\ell(n+h)$ using a normalized version of Ramanujan-Fourier expansions for $\tau_k(n)$ and verify they produce the expected answer.
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