We prove an explicit formula of Atkinson type for the error term in the asymptotic formula for the mean square of the product of the Riemann zeta-function and a Dirichlet polynomial. To deal with the case when coefficients of the Dirichlet polynomial are complex, we apply the idea of the first author in his study on mean values of Dirichlet L-functions. © 2011 Versita Warsaw and Springer-Verlag Wien.
CITATION STYLE
Ishikawa, H., & Matsumoto, K. (2011). An explicit formula of Atkinson type for the product of the Riemann zeta-function and a Dirichlet polynomial. Central European Journal of Mathematics, 9(1), 102–126. https://doi.org/10.2478/s11533-010-0085-5
Mendeley helps you to discover research relevant for your work.