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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 357, Pages 201–223
(Mi znsl2127)
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This article is cited in 5 scientific papers (total in 5 papers)
Mean value theorems for a class of Dirichlet series
O. M. Fomenko St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
We obtain an asymptotic formula instead of the upper bounds of Chandrasekharan and Narasimhan (1964) and Lau (1999) for the mean square value of the error term associated with the Dedekind zeta-function of a cubic field $K_3$. We study also modular analogs of the classical divisor problems. Bibl. – 21 titles.
Received: 28.07.2008
Citation:
O. M. Fomenko, “Mean value theorems for a class of Dirichlet series”, Analytical theory of numbers and theory of functions. Part 23, Zap. Nauchn. Sem. POMI, 357, POMI, St. Petersburg, 2008, 201–223; J. Math. Sci. (N. Y.), 157:4 (2009), 659–673
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https://www.mathnet.ru/eng/znsl2127 https://www.mathnet.ru/eng/znsl/v357/p201
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Abstract page: | 294 | Full-text PDF : | 82 | References: | 47 |
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