Abstract
In previous papers, we examined several properties of an error term in a certain divisor problem related to the derivatives of the Riemann zeta-function. In this paper, we obtain representations of error terms related to the derivatives of some Dirichlet series, which can be regarded as generalized versions of a Dirichlet divisor problem and a Gauss circle problem. We also give the upper bounds of the error terms in terms of exponent pairs.
Citation
Jun Furuya. T. Makoto Minamide. Yoshio Tanigawa. "On representations of error terms related to the derivatives for some Dirichlet series." Illinois J. Math. 61 (1-2) 187 - 209, Spring and Summer 2017. https://doi.org/10.1215/ijm/1520046215
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