Academic Journal
Comparison of sums of multiplicative functions
| Τίτλος: | Comparison of sums of multiplicative functions |
|---|---|
| Συγγραφείς: | Tulyaganov, S. T. |
| Στοιχεία εκδότη: | American Mathematical Society (AMS), Providence, RI |
| Θεματικοί όροι: | 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 |
| Περιγραφή: | 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)|) |
| Τύπος εγγράφου: | Article |
| Περιγραφή αρχείου: | application/xml |
| Σύνδεσμος πρόσβασης: | https://zbmath.org/30198 |
| Αριθμός Καταχώρησης: | edsair.c2b0b933574d..88e29b40c45c4ef5608a1f3dcdfa0749 |
| Βάση Δεδομένων: | OpenAIRE |
καταχωρήστε σχόλιο πρώτοι!