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On the correlation of multiplicative and the sum of additive arithmetic functions /

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Elliott, P. D. T. A. (Peter D. T. A.) (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Providence, Rhode Island : American Mathematical Society, 1994.
Collection:Memoirs of the American Mathematical Society ; Volume 112, no. 538.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • 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