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On the mean square of the error term for the asymmetric two-dimensional divisor problems(II)

✍ Scribed by Cao, Xiaodong; Zhai, Wenguang


Book ID
120918265
Publisher
Springer Vienna
Year
2009
Tongue
English
Weight
60 KB
Category
Article
ISSN
0026-9255

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On the average orders of the error term
✍ Jun Furuya πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 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