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


About this Title

P. D. T. A. Elliott

Publication: Memoirs of the American Mathematical Society
Publication Year 1994: Volume 112, Number 538
ISBNs: 978-0-8218-2598-3 (print); 978-1-4704-0117-7 (online)
DOI: http://dx.doi.org/10.1090/memo/0538
MathSciNet review: 1222182
MSC (1991): Primary 11K65; Secondary 11N64

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Table of Contents


Chapters

  • 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