On the error term in a Parseval type formula in the theory of Ramanujan expansions II
Number Theory
2016-08-05 v1
Abstract
For two arithmetical functions and with absolutely convergent Ramanujan expansions, Murty and Saha have recently derived asymptotic formulas with error term for the convolution sum under some suitable conditions (see http://arxiv.org/abs/1506.01945). In this follow up article we improve these results with a weakened hypothesis which is in some sense minimal.
Keywords
Cite
@article{arxiv.1507.07862,
title = {On the error term in a Parseval type formula in the theory of Ramanujan expansions II},
author = {Giovanni Coppola and M. Ram Murty and Biswajyoti Saha},
journal= {arXiv preprint arXiv:1507.07862},
year = {2016}
}