On the mean square value of Dirichlet’s -functions
Zhang Wenpeng (1992)
Compositio Mathematica
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Zhang Wenpeng (1992)
Compositio Mathematica
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Wenpeng Zhang (1996)
Journal de théorie des nombres de Bordeaux
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In this paper we study the asymptotic behavior of the mean value of Dedekind sums, and give a sharper asymptotic formula.
Ioana Ciorǎnescu, László Zsidó (1982)
Banach Center Publications
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E. M. Semenov (1993)
Collectanea Mathematica
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We give an operator approach to several inequalities of S. Kwapien and C. Schütt, which allows us to obtain more general results.
Zhang Wenpeng (1993)
Compositio Mathematica
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Pap, Endre (1990)
Portugaliae mathematica
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Andrew Grant (1987)
Časopis pro pěstování matematiky
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Ladislav Mišík, János T. Tóth (2003)
Journal de théorie des nombres de Bordeaux
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In the paper sufficient conditions for the -density of a set of positive integers in terms of logarithmic densities are given. They differ substantially from those derived previously in terms of asymptotic densities.