On Ramanujan-Fourier expansions

David T. Nguyen

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arXiv · 2305.17597

On Ramanujan-Fourier expansions

David T. Nguyen

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Abstract

We heuristically study the shifted convolution $\sum_{n\le X} τ_k(n) τ_\ell(n+h)$ using a normalized version of Ramanujan-Fourier expansions for $τ_k(n)$ and verify they produce the expected answer.

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David T. Nguyen. 2023-05-28. On Ramanujan-Fourier expansions. https://arxiv.org/abs/2305.17597

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