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On the Mean Square of the Error Terms Corresponding to Exponential Sums Involving the Ideal Counting Function

✍ Scribed by Jun Furuya


Book ID
111605967
Publisher
Springer US
Year
2004
Tongue
English
Weight
187 KB
Volume
8
Category
Article
ISSN
1382-4090

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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