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arXiv · 1612.03136

Finite Ramanujan expansions and shifted convolution sums of arithmetical functions

Giovanni Coppola·M. Ram Murty·Biswajyoti Saha
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Abstract

For two arithmetical functions $f$ and $g$, we study the convolution sum of the form $\sum_{n \le N} f(n) g(n+h)$ in the context of its asymptotic formula with explicit error terms. Here we introduce the concept of finite Ramanujan expansion of an arithmetical function and extend our earlier works in this setup.

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Giovanni Coppola, M. Ram Murty, Biswajyoti Saha. 2016-12-09. Finite Ramanujan expansions and shifted convolution sums of arithmetical functions. https://doi.org/10.1016/j.jnt.2016.10.011

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