Finite Ramanujan expansions and shifted convolution sums of arithmetical functions

Giovanni Coppola, M. Ram Murty, Biswajyoti Saha

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…