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Volumn 42, Issue 1, 1995, Pages 144-157

A Sharp Inequality of Halasz Type for the Mean Value of a Multiplicative Arithmetic Function

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EID: 84971877455     PISSN: 00255793     EISSN: 20417942     Source Type: Journal    
DOI: 10.1112/S0025579300011426     Document Type: Article
Times cited : (14)

References (15)
  • 2
    • 0000487180 scopus 로고
    • Sur les fonctions arithmétiques multiplicatives
    • H. Delange. Sur les fonctions arithmétiques multiplicatives. Ann. Sci. Ec. Norm. Sup., 78 (1961), 273–304.
    • (1961) Ann. Sci. Ec. Norm. Sup. , vol.78 , pp. 273-304
    • Delange, H.1
  • 3
    • 0012335598 scopus 로고
    • Some remarks about multiplicative functions of modulus ≤1
    • eds. B. C. Bemdt, H. G. Diamond, H. Halberstam and A. Hildebrand), Progress in Math. 85 (Birkhäuser
    • P. D. T. A. Elliott. Some remarks about multiplicative functions of modulus ≤1. In Analytic Number Theory (eds. B. C. Bemdt, H. G. Diamond, H. Halberstam and A. Hildebrand), Progress in Math. 85 (Birkhäuser, 1990), 159–164.
    • (1990) Analytic Number Theory , pp. 159-164
    • Elliott, P.D.T.A.1
  • 4
    • 0001005292 scopus 로고
    • über die Mittelwerte multipikativer zahlentheoretischer Funktionen
    • G. Halász. über die Mittelwerte multipikativer zahlentheoretischer Funktionen, Acta. Math. Acad. Sci. Hungar., 19 (1968), 365–403.
    • (1968) Acta. Math. Acad. Sci. Hungar. , vol.19 , pp. 365-403
    • Halász, G.1
  • 5
    • 0010270022 scopus 로고
    • On the distribution of additive and the mean values of multiplicative arithmetic functions
    • G. Halász. On the distribution of additive and the mean values of multiplicative arithmetic functions. Studia Sci. Math. Hungar., 6 (1971), 211–233.
    • (1971) Studia Sci. Math. Hungar. , vol.6 , pp. 211-233
    • Halász, G.1
  • 7
    • 0040409674 scopus 로고
    • Halving an estimate obtained from Sellberg's upper bound method
    • R. R. Hall. Halving an estimate obtained from Sellberg's upper bound method. Acta. Arith., 25 (1974), 347–351.
    • (1974) Acta. Arith. , vol.25 , pp. 347-351
    • Hall, R.R.1
  • 8
    • 0010992716 scopus 로고
    • Cambridge Tracts in Mathematics
    • Cam-bridge University Press
    • R. R. Hall and G. Tenenbaum. Divisors. Cambridge Tracts in Mathematics 90 (Cam-bridge University Press, 1988).
    • (1988) Divisors. , vol.90
    • Hall, R.R.1    Tenenbaum, G.2
  • 9
    • 84974323906 scopus 로고
    • Effective mean value estimates for complex multiplicative functions
    • R. R. Hall and G. Tenenbaum. Effective mean value estimates for complex multiplicative functions. Math. Proc. Cam. Phil. Soc., 110 (1991), 337–351.
    • (1991) Math. Proc. Cam. Phil. Soc. , vol.110 , pp. 337-351
    • Hall, R.R.1    Tenenbaum, G.2
  • 10
    • 0039226206 scopus 로고
    • Quantitative mean-value theorems for non-negative multiplicative functions 1
    • A. Hildebrand. Quantitative mean-value theorems for non-negative multiplicative functions 1. J. London Math. Soc., 30 (1984), 394–406.
    • (1984) J. London Math. Soc. , vol.30 , pp. 394-406
    • Hildebrand, A.1
  • 11
    • 0344362727 scopus 로고
    • Quantitative mean-value theorems for non-negative multiplicative functions 2
    • A. Hildebrand. Quantitative mean-value theorems for non-negative multiplicative functions 2.Acta Arith., 48 (1987), 209–260.
    • (1987) Acta Arith , vol.48 , pp. 209-260
    • Hildebrand, A.1
  • 12
    • 0039480862 scopus 로고
    • Theorie der konvexen Korper, insbesondere Bergründung ihres Ober-flachenbergriffs
    • Chelsea, New York
    • H. Minkowski. ‘Theorie der konvexen Korper, insbesondere Bergründung ihres Ober-flachenbergriffs. In Gesammelte Abhandlungen (Chelsea, New York, 1967).
    • (1967) Gesammelte Abhandlungen
    • Minkowski, H.1
  • 13
    • 33748838121 scopus 로고
    • A note on the mean values of multiplicative functions
    • report no. 17
    • H. L. Montgomery. A note on the mean values of multiplicative functions. Inst. Mittag Leffler, report no. 17 (1978).
    • (1978) Inst. Mittag Leffler
    • Montgomery, H.L.1
  • 15
    • 0006377806 scopus 로고
    • Das asymptotische Verhalten von Summen über multiplikative Funktionen II
    • W. E. Wirsing. Das asymptotische Verhalten von Summen über multiplikative Funktionen II. Acta. Math. Acad. Sci. Hungar., 18 (1967), 411–467.
    • (1967) Acta. Math. Acad. Sci. Hungar. , vol.18 , pp. 411-467
    • Wirsing, W.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.