For the mean square value of the error term associated with the Dedekind zeta function of a cubic field K 3, 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.
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Translated from Zapiski Nauchnykh. Serninarov POMI, Vol. 357, 2008, pp. 201–223.
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Fomeriko, O.M. Mean value theorems for a class of Dirichlet series. J Math Sci 157, 659–673 (2009). https://doi.org/10.1007/s10958-009-9335-0
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DOI: https://doi.org/10.1007/s10958-009-9335-0