Mean Value Theorems For A Class Of Dirichlet Series

摘要

For the mean square value of the error term associated with the Dedekind zeta function of a cubic field K3, an asymptotic formula (instead of the upper bounds of Chandrasekharan and Narasimhan (1964) and Lau (1999),) is obtained. Modular analogs of the classical divisor problems are also studied. Bibliography: 21 titles.