Finite Ramanujan expansions and shifted convolution sums of arithmetical functions
Number Theory
2016-12-12 v1
Abstract
For two arithmetical functions and , we study the convolution sum of the form 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.
Cite
@article{arxiv.1612.03136,
title = {Finite Ramanujan expansions and shifted convolution sums of arithmetical functions},
author = {Giovanni Coppola and M. Ram Murty and Biswajyoti Saha},
journal= {arXiv preprint arXiv:1612.03136},
year = {2016}
}