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On the correlation of multiplicative and the sum of additive arithmetic functions /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
1994.
|
| Colección: | Memoirs of the American Mathematical Society ;
Volume 112, no. 538. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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 1.16. 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