Bibliographic Details
| Title: |
Comparison of sums of multiplicative functions |
| Authors: |
Tulyaganov, S. T. |
| Publisher Information: |
American Mathematical Society (AMS), Providence, RI |
| Subject Terms: |
multiplicative functions of class \(N\), Wirsing theorem, multiplicative functions of class \(\Omega\), Asymptotic results on arithmetic functions, Rate of growth of arithmetic functions, asymptotic formulae, Delange theorem, sums over multiplicative functions |
| Description: |
Without proof the author gives several asymptotic formulae for sums over multiplicative functions \(f\) related to theorems of E. Wirsing and H. Delange. The results cannot be reproduced here; we quote one example. Let \(f: \mathbb{N}\to\mathbb{C}\), \(h: \mathbb{N}\to [0,\infty[\) be multiplicative, let \[ \sum_ p(p^{-2} | g(p)|^2+\sum_{r\geq 2}p^{-r} | g(p^r)|) |
| Document Type: |
Article |
| File Description: |
application/xml |
| Access URL: |
https://zbmath.org/30198 |
| Accession Number: |
edsair.c2b0b933574d..88e29b40c45c4ef5608a1f3dcdfa0749 |
| Database: |
OpenAIRE |