Effective mean value estimates for complex multiplicative functions

Mathematical Proceedings of the Cambridge Philosophical Society

Volumn 110, Issue 2, 1991, Pages 337-351

  Hall, R R ^a   Tenenbaum, G ^b  

^a UNIVERSITY OF YORK   (United Kingdom)

^b UNIVERSITÉ DE LORRAINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84974323906     PISSN: 03050041     EISSN: 14698064     Source Type: Journal    
DOI: 10.1017/S0305004100070419     Document Type: Article

References (10)

1. P. D. T. A. Elliott. Some remarks about multiplicative functions of modulus ≦ 1. In Analytic Number Theory (eds. B. C. Berndt, H. G. Diamond, H. Halberstam, A. Hildebrand), Progress in Math. no. 85 (Birkhäuser, 1990), pp. 159–164.
2. G. Halász. On the distribution of additive and the mean value of multiplicative arithmetic functions. Stvdia Sci. Math. Hungar. 6 (1971), 211–233.
3. H. Halberstam and H.-E. Richert. On a result of R. R. Hall. J. Number Theory (1) 11 (1979), 76–89.
4. R. R. Hall. Halving an estimate obtained from Selberg's upper bound method. Acta Arith. 25 (1974), 347–351.
5. R. R. Hall and G. Tenbnbaum. Divisors. Cambridge Tracts in Mathematics no. 90 (Cambridge University Press, 1988).
6. A. Hildebrand. Quantitative mean-value theorems for non-negative multiplicative functions 1. J. London Math. Soc. (2) 30 (1984), 394–406.
7. A. Heldbbrand. Quantitative mean-value theorems for non-negative multiplicative functions 2. Acta Arith. 48 (1987), 209–260.
8. H. Maier and G. Tbnenbaum. On the set of divisors of an integer. Invent. Math. 76 (1984), 121–128.
9. H. L. Montgomery, A note on the mean values of multiplicative functions. Inst. Mittag Leffler, report No. 17 (1978).
10. G. Tenenbaum. Introduction à la Théorie Analytique et Probabiliste des Nombres (Institut Elie Cartan, Nancy, 1990).