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Higher moments of the error term in the divisor problem

✍ Scribed by A. Ivić; W. Zhai


Book ID
110149798
Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
612 KB
Volume
88
Category
Article
ISSN
0001-4346

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📜 SIMILAR VOLUMES


On the average orders of the error term
✍ Jun Furuya 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 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