Finite Ramanujan expansions and shifted convolution sums of arithmetical   functions
  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. 
Giovanni Coppola, M. Ram Murty and Biswajyoti Saha
math.NT