@article{oai:nagoya.repo.nii.ac.jp:00008508,
author = {IVIC, ALEKSANDAR and MATSUMOTO, KOHJI and TANIGAWA, YOSHIO},
issue = {1},
journal = {Mathematical Proceedings of the Cambridge Philosophical Society},
month = {Jul},
note = {We study Δ(x;φ), the error term in the asymptotic formula for Σ_n≤xc_n, where the c_ns are generated by the Rankin-Selberg series. Our main tools are Voronoї-type formulae. First we reduce the evaluation of Δ(x;φ) to that of Δ(x;φ), the error term of the weighted sum ∑_n≤_x(x-n)c_n. Then we prove an upper bound and a sharp mean square formula for Δ_1(x;φ), by applying the Voronoї formula of Meurman's type.We also prove that an improvement of the error term in the mean square formula would imply an improvement of the upper bound of Δ(x;φ). Some other related topics are also discussed.},
pages = {117--131},
title = {On Riesz means of the coefficients of the Rankn--Selberg series},
volume = {127},
year = {1999}
}