@inbook{oai:nagoya.repo.nii.ac.jp:00018289,
author = {EGAMI, SHIGEKI and MATSUMOTO, KOHJI},
month = {Jul},
note = {In this paper, we first give a brief survey on the theory of meromorphic continuation and natural boundaries of multiple Dirichlet series. Then we consider the double Dirichlet series Φ2(s) defined by the convolution of logarithmic derivatives of the Riemann zeta-function. Especially we propose the conjecture that Φ2(s) would have the natural boundary on ℜs = 1, and give a supportive evidence. We further present an application of Φ2(s) to the Riesz mean, and discuss its multiple analogues., Proceedings of the 4th China-Japan Seminar Weihai, China, 30 August – 3 September 2006},
pages = {1--23},
publisher = {World Scientific Publishing},
title = {CONVOLUTIONS OF THE VON MANGOLDT FUNCTION AND RELATED DIRICHLET SERIES},
year = {2007}
}