메뉴 건너뛰기




Volumn 55, Issue 6, 2003, Pages 1191-1230

Decay of Mean Values of Multiplicative Functions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0345411842     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-2003-047-0     Document Type: Article
Times cited : (51)

References (20)
  • 2
    • 0007364555 scopus 로고
    • The distribution of quadratic and higher residues
    • H. Davenport and P. Erdos, The distribution of quadratic and higher residues. Publ. Math. Debrecen 2(1952), 252-265.
    • (1952) Publ. Math. Debrecen , vol.2 , pp. 252-265
    • Davenport, H.1    Erdos, P.2
  • 3
    • 38249025731 scopus 로고
    • Extrapolating the mean-values of multiplicative functions
    • P. D. T. A. Elliott, Extrapolating the mean-values of multiplicative functions. Indag. Math 51(1989), 409-420.
    • (1989) Indag. Math , vol.51 , pp. 409-420
    • Elliott, P.D.T.A.1
  • 4
    • 0012335598 scopus 로고
    • Some remarks about multiplicative functions of modulus ≤ 1
    • Analytic number theory, Allerton Park, IL, 1989, Birkhäuser Boston, Boston, MA
    • _, Some remarks about multiplicative functions of modulus ≤ 1. In: Analytic number theory, Allerton Park, IL, 1989, Progr. Math 85, Birkhäuser Boston, Boston, MA, 1990, 159-164.
    • (1990) Progr. Math , vol.85 , pp. 159-164
  • 5
    • 38249030221 scopus 로고
    • Sieving the positive integers by large primes
    • D. A. Goldston and K. S. McCurley, Sieving the positive integers by large primes. J. Number Theory 28(1988), 94-115.
    • (1988) J. Number Theory , vol.28 , pp. 94-115
    • Goldston, D.A.1    McCurley, K.S.2
  • 6
    • 0035635589 scopus 로고    scopus 로고
    • The spectrum of multiplicative functions
    • A. Granville and K. Soundararajan, The spectrum of multiplicative functions. Ann. of Math. 153(2001), 407-470.
    • (2001) Ann. of Math. , vol.153 , pp. 407-470
    • Granville, A.1    Soundararajan, K.2
  • 8
    • 0010270022 scopus 로고
    • On the distribution of additive and mean-values of multiplicative functions
    • G. Halász, On the distribution of additive and mean-values of multiplicative functions. Studia Sci. Math. Hungar. 6(1971), 211-233.
    • (1971) Studia Sci. Math. Hungar. , vol.6 , pp. 211-233
    • Halász, G.1
  • 9
    • 0010078040 scopus 로고
    • On the distribution of additive arithmetic functions
    • _, On the distribution of additive arithmetic functions. Acta Arith. 27(1975), 143-152.
    • (1975) Acta Arith. , vol.27 , pp. 143-152
  • 11
    • 0040409674 scopus 로고
    • Halving an estimate obtained from Selberg's upper bound method
    • R. R. Hall, Halving an estimate obtained from Selberg's upper bound method. Acta Arith. 25(1974), 347-351.
    • (1974) Acta Arith. , vol.25 , pp. 347-351
    • Hall, R.R.1
  • 12
    • 84971877455 scopus 로고
    • A sharp inequality of Halász type for the mean value of a multiplicative arithmetic function
    • _, A sharp inequality of Halász type for the mean value of a multiplicative arithmetic function. Mathematika 42(1995), 144-157.
    • (1995) Mathematika , vol.42 , pp. 144-157
  • 13
    • 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. Cambridge Philos. Soc. 110(1991), 337-351.
    • (1991) Math. Proc. Cambridge Philos. Soc. , vol.110 , pp. 337-351
    • Hall, R.R.1    Tenenbaum, G.2
  • 15
    • 33748838121 scopus 로고    scopus 로고
    • A note on the mean values of multiplicative functions
    • H. L. Montgomery, A note on the mean values of multiplicative functions. Inst. Mittag-Leffler, Report 17.
    • Inst. Mittag-Leffler, Report , vol.17
    • Montgomery, H.L.1
  • 17
    • 0344029822 scopus 로고    scopus 로고
    • Mean-values of multiplicative functions
    • _, Mean-values of multiplicative functions. Period. Math. Hungar. 43(2001), 188-214.
    • (2001) Period. Math. Hungar. , vol.43 , pp. 188-214
  • 19
    • 0344029823 scopus 로고
    • The theory of measure in arithmetical semigroups
    • A. Wintner, The theory of measure in arithmetical semigroups. Baltimore, 1944.
    • (1944) Baltimore
    • Wintner, A.1
  • 20
    • 0006377806 scopus 로고
    • Das asymptotische Verhalten von Summen über multiplikative Funktionen II
    • 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, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.