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Dirichlet series obtained from the error term in the Dirichlet divisor problem

โœ Scribed by J. Furuya; Y. Tanigawa; W. Zhai


Publisher
Springer Vienna
Year
2010
Tongue
English
Weight
217 KB
Volume
160
Category
Article
ISSN
0026-9255

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On the average orders of the error term
โœ Jun Furuya ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 206 KB

Let (x) be the error term in the Dirichlet divisor problem. The purpose of this paper is to study the difference between two kinds of mean value formulas of (x), that is, the mean value formulas x 1 (u) k du and n x (n) k with a natural number k. In particular we study the case k = 2 and 3 in detail