Oscillations of Error Terms Associated with Certain Arithmetical Functions
β Scribed by Maciej Radziejewski
- Publisher
- Springer Vienna
- Year
- 2004
- Tongue
- English
- Weight
- 156 KB
- Volume
- 144
- Category
- Article
- ISSN
- 0026-9255
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π SIMILAR VOLUMES
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
## Abstract In many cases known methods of detecting oscillations of arithmetic error terms involve certain smoothing proβcedures. Usually an application of the smoothing operator does not change significantly the order of magnitude of the error under consideration. This is so for instance in the c
Suppose that a cost function can be represented by a generalized polynomial in its design parameters with positive coefficients. The parameters are positive quantities raised to positive or negative powers in the generalized polynomial. We show that a result of Duffin allows error bounds when using