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Sums of the error term function in the mean square for ζ(s)

✍ Scribed by Yann Bugeaud; Aleksandar Ivić


Publisher
Springer Vienna
Year
2008
Tongue
English
Weight
112 KB
Volume
155
Category
Article
ISSN
0026-9255

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On a Weighted Mean Square Result of the
✍ Yuk-Kam Lau 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 169 KB

Let a(n) be an arithmetical function satisfying some conditions and write $ n x a(n)=main term+E(x). We obtain an asymptotic formula for a weighted mean square of the error term for some constants \_ 0 and c, by modifying a method that seems due to Titchmarsh. This method utilizes the following too