On the correlation of multiplicative and the sum of additive arithmetic functions / / P.D.T.A. Elliott
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| Autore: |
Elliott P. D. T. A (Peter D. T. A.)
|
| Titolo: |
On the correlation of multiplicative and the sum of additive arithmetic functions / / P.D.T.A. Elliott
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| ©1994 | |
| Descrizione fisica: | 1 online resource (102 p.) |
| Disciplina: | 512/.73 |
| Soggetto topico: | Arithmetic functions |
| Number theory | |
| Note generali: | "November 1994, Volume 112, Number 538 (second of 4 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Contents""; ""Introduction""; ""1. Correlations of Multiplicative Functions""; ""1.1 Conjectures and Results""; ""1.2 Applications of Theorem 1.1""; ""2. The Method of the Stable Dual (1): Deriving the Approximate Functional Equations""; ""2.1 Background Philosophy""; ""2.2 Operator Norm Inequalities""; ""2.3 Deriving the Approximate Functional Equations""; ""3. The Method of the Stable Dual (2): Solving the Approximate Functional Equations""; ""4. Orthogonality of Operators and the Present Application of the Method to the Study of Correlations"" |
| ""5. Correlations: Main Lemma in the Proof of Theorem 1.1""""6. Correlations: Auxiliary Lemmas for the Proof of Theorem 1.1""; ""7. Correlations: An Approximate Functional Equation and Its Solution""; ""8. Correlations: Proof of the Main Lemma (completion)""; ""9. Correlations: Proof of Theorem 1.1""; ""10. Sums of Additive Functions""; ""10.1 Limits of Frequencies""; ""10.2 Auxiliary Results""; ""10.3 Proof of Theorem 10.1, Beginning""; ""10.4 Proof of Theorem 10.1, Continued""; ""10.5 Proof of Theorem 10.1, Necessity""; ""10.6 Proof of Theorem 10.1, Sufficiency"" | |
| ""11. Afterwords: Further Possibilities""""References "" | |
| Titolo autorizzato: | On the correlation of multiplicative and the sum of additive arithmetic functions |
| ISBN: | 1-4704-0117-7 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910829051703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 112, Number 538.