|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910829051703321 |
|
|
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 |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , 1994 |
|
©1994 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (102 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 112, Number 538 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Arithmetic functions |
Number theory |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
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 "" |
|
|
|
|
|
|
|