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Volumn 81, Issue 2, 1997, Pages 145-173

On the arithmetic structure of the integers whose sum of digits is fixed

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EID: 0031473636     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-81-2-145-173     Document Type: Article
Times cited : (55)

References (14)
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  • 2
    • 38249028447 scopus 로고
    • The distribution of the number of prime divisors of sums a + b
    • P. D. T. A. Elliott and A. Sárközy, The distribution of the number of prime divisors of sums a + b, J. Number Theory 29 (1988), 94-99.
    • (1988) J. Number Theory , vol.29 , pp. 94-99
    • Elliott, P.D.T.A.1    Sárközy, A.2
  • 4
    • 34250598875 scopus 로고
    • Fourier analysis of distribution functions. A mathematical study of Laplace-Gaussian law
    • C. G. Esseen, Fourier analysis of distribution functions. A mathematical study of Laplace-Gaussian law, Acta Math. 77 (1945), 1-125.
    • (1945) Acta Math. , vol.77 , pp. 1-125
    • Esseen, C.G.1
  • 5
    • 84966235470 scopus 로고
    • The distribution of the sum of digits (mod p)
    • M. N. J. Fine, The distribution of the sum of digits (mod p), Bull. Amer. Math. Soc. 71 (1965), 2651-2652.
    • (1965) Bull. Amer. Math. Soc. , vol.71 , pp. 2651-2652
    • Fine, M.N.J.1
  • 6
    • 0030500245 scopus 로고    scopus 로고
    • Somme des chiffres et nombres presque premiers
    • E. Fouvry et C. Mauduit, Somme des chiffres et nombres presque premiers, Math. Ann. 305 (1996), 571-599.
    • (1996) Math. Ann. , vol.305 , pp. 571-599
    • Fouvry, E.1    Mauduit, C.2
  • 8
    • 0001512875 scopus 로고
    • Sur les nombres qui ont des propriétés additives et multiplicatives données
    • A. O. Gelfond, Sur les nombres qui ont des propriétés additives et multiplicatives données, Acta Arith. 13 (1968), 259-265.
    • (1968) Acta Arith. , vol.13 , pp. 259-265
    • Gelfond, A.O.1
  • 10
    • 0030295476 scopus 로고    scopus 로고
    • On the arithmetic structure of sets characterized by sum of digits properties
    • C. Mauduit and A. Sárközy, On the arithmetic structure of sets characterized by sum of digits properties, J. Number Theory 61 (1996), 25-38.
    • (1996) J. Number Theory , vol.61 , pp. 25-38
    • Mauduit, C.1    Sárközy, A.2
  • 11
    • 84966240212 scopus 로고
    • The analytic principle of the large sieve
    • H. L. Montgomery, The analytic principle of the large sieve, Bull. Amer. Math. Soc. 84 (1978), 547-567.
    • (1978) Bull. Amer. Math. Soc. , vol.84 , pp. 547-567
    • Montgomery, H.L.1
  • 12
    • 0003938791 scopus 로고
    • Problems and theorems in analysis, II
    • Springer
    • G. Pólya and G. Szegö, Problems and Theorems in Analysis, II, Grundlehren Math. Wiss. 216, Springer, 1976.
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    • Pólya, G.1    Szegö, G.2
  • 13
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    • On divisors of sums of integers, V
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    • (1994) Pacific J. Math. , vol.166 , pp. 373-384
    • Sárközy, A.1    Stewart, C.L.2
  • 14
    • 36649013281 scopus 로고
    • Introduction à la théorie analytique et probabiliste des nombres
    • G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Publ. Inst. Elie Cartan, 13, 1990.
    • (1990) Publ. Inst. Elie Cartan , vol.13
    • Tenenbaum, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.