On the correlation of multiplicative and the sum of additive arithmetic functions / [electronic resource] P.D.T.A. Elliott.

By: Elliott, P. D. T. A. (Peter D. T. A.)Contributor(s): American Mathematical SocietyMaterial type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 538Publication details: Providence, RI : American Mathematical Society, 1994Description: 1 online resource (vii, 88 p.)ISBN: 9781470401177 (online)Subject(s): Arithmetic functions | Number theoryAdditional physical formats: On the correlation of multiplicative and the sum of additive arithmetic functions /DDC classification: 510 s | 512/.73 LOC classification: QA3 | .A57 no. 538 | QA241Online resources: Contents | Contents
Contents:
1. Correlations of multiplicative functions 2. The method of the stable dual (1): 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 11. Afterwords: Further possibilities
Item type: E-BOOKS
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Link to resource Available EBK12991

"November 1994, volume 112".

Includes bibliographical references (p. 84-88).

1. Correlations of multiplicative functions 2. The method of the stable dual (1): 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 11. Afterwords: Further possibilities

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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