On the summatory function of a class of multiplicative functions |
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| Authors: | L Ding S Kanemitsu A Laurinčikas |
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| Institution: | (1) Department of Mathematics, Northwest University Xi’an, Shaanxi, 710069, P.R. China;(2) Graduate School of Advanced Technology, Kinki University Iizuka Fukuoka, 820-8555, Japan;(3) Vilnius University, Naugarduko 24, LT-03225 Vilnius, Lithuania |
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| Abstract: | We consider an asymptotic formula for the mean value of one class of multiplicative functions, the error term in this formula
being related to an estimate of its short interval analogue.
Published in Lietuvos Matematikos Rinkinys, Vol. 46, No. 1, pp. 111–122, January–March, 2006. |
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| Keywords: | Euler product Laplace integral multiplicative function Selberg— Delange method Tauberian theorem |
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