On partial sums of arithmetical functions of two variables with absolutely convergent Ramanujan expansions

In this article, we derive an asymptotic formula for the sums of the form ∑n1,n2≤Nf(n1,n2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\sum }_{n_{1},n_{2}\le N}f(n_1,n_2)$$\end{document} with an explicit error term, for any arithmetical function f of two variables with absolutely convergent Ramanujan expansion and Ramanujan coefficients satisfying certain hypothesis.