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Volumn 97, Issue 4, 2001, Pages 329-351

Sums of nonnegative multiplicative functions over integers without large prime factors I

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EID: 0035650118     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa97-4-3     Document Type: Article
Times cited : (11)

References (14)
  • 1
  • 2
    • 0002168134 scopus 로고
    • On the number of positive integers ≤ x and free of prime factors > y
    • N. G. de Bruijn, On the number of positive integers ≤ x and free of prime factors > y, Indag. Math. 13 (1951), 50-60.
    • (1951) Indag. Math. , vol.13 , pp. 50-60
    • De Bruijn, N.G.1
  • 3
    • 0345723472 scopus 로고
    • Incomplete sums of multiplicative functions, I, II
    • N. G. de Bruijn and J. H. van Lint, Incomplete sums of multiplicative functions, I, II, ibid. 26 (1964), 339-347; 348-359.
    • (1964) Indag. Math. , vol.26 , pp. 339-347
    • De Bruijn, N.G.1    Van Lint, J.H.2
  • 4
    • 0002100612 scopus 로고
    • On the frequency of numbers containing primes of a certain relative magnitude
    • K. Dickman, On the frequency of numbers containing primes of a certain relative magnitude, Ark. Mat. Aston. Fys. 22 (1930), 1-14.
    • (1930) Ark. Mat. Aston. Fys. , vol.22 , pp. 1-14
    • Dickman, K.1
  • 5
    • 0007329373 scopus 로고
    • Notes on functions connected with the sieve
    • F. Grupp and H.-E. Richert, Notes on functions connected with the sieve, Analysis 8 (1988), 1-23.
    • (1988) Analysis , vol.8 , pp. 1-23
    • Grupp, F.1    Richert, H.-E.2
  • 7
    • 0000984566 scopus 로고
    • On the number of positive integers ≤ x and free of prime factors > y
    • A. Hildebrand, On the number of positive integers ≤ x and free of prime factors > y, J. Number Theory 22 (1986), 289-307.
    • (1986) J. Number Theory , vol.22 , pp. 289-307
    • Hildebrand, A.1
  • 10
    • 0003350988 scopus 로고
    • Numbers with small prime factors, and the least kth power non-residue
    • K. K. Norton, Numbers with small prime factors, and the least kth power non-residue, Mem. Amer. Math. Soc. 106 (1971).
    • (1971) Mem. Amer. Math. Soc. , vol.106
    • Norton, K.K.1
  • 11
    • 0007333635 scopus 로고
    • A problem of Rankin on sums of powers of cusp-form coefficients
    • R. W. K. Odoni, A problem of Rankin on sums of powers of cusp-form coefficients, J. London Math. Soc. 44 (1991), 203-217.
    • (1991) J. London Math. Soc. , vol.44 , pp. 203-217
    • Odoni, R.W.K.1
  • 14
    • 0002753120 scopus 로고
    • Das asymptotische verhalten von summen über multiplikative funktionen
    • E. Wirsing, Das asymptotische Verhalten von Summen über multiplikative Funktionen, Math. Ann. 143 (1961), 75-102.
    • (1961) Math. Ann. , vol.143 , pp. 75-102
    • Wirsing, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.