A note on arithmetical functions with absolutely convergent Ramanujan expansions

作者:Saha Biswajyoti
来源:International Journal of Number Theory, 2016, 12(6): 1595-1611.
DOI:10.1142/S1793042116500974

摘要

<jats:p> Arithmetical functions with absolutely convergent Ramanujan expansions have been recently studied in certain contexts, by the present author, Murty and many others. In this article, we aim to weaken some of their hypotheses and derive asymptotic formulas with an explicit error term for sums of the form [Formula: see text] and [Formula: see text] where [Formula: see text] and [Formula: see text] are two arithmetical functions with absolutely convergent Ramanujan expansion. </jats:p>

  • 出版日期2016-9