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On the average order of magnitude of Dirichlet series

✍ Scribed by G. Halász


Publisher
Akadmiai Kiad
Year
1970
Tongue
English
Weight
264 KB
Volume
21
Category
Article
ISSN
1588-2632

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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