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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.) Visualizza persona
Titolo: On the correlation of multiplicative and the sum of additive arithmetic functions / / P.D.T.A. Elliott Visualizza cluster
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
Soggetto genere / forma: Electronic books.
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  Visualizza cluster
ISBN: 1-4704-0117-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910480710103321
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Serie: Memoirs of the American Mathematical Society ; ; Volume 112, Number 538.