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Volumn 62, Issue 1, 1997, Pages 19-38

Gaussian asymptotic properties of the sum-of-digits function

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EID: 0030694432     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1997.2044     Document Type: Article
Times cited : (23)

References (11)
  • 1
    • 0000254855 scopus 로고
    • Comment écrire les nombres entiers dans une base qui n'est pas entière
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    • (1989) Acta Math. Hungar. , vol.54 , pp. 237-241
    • Bertrand-Mathis, A.1
  • 4
    • 0000172644 scopus 로고
    • Summation formulae for substitutions on a finite alphabet
    • "Number Theory and Physics, Les Houches, 1989," Springer-Verlag, Berlin
    • [D90] J. M. Dumont, Summation formulae for substitutions on a finite alphabet, in "Number Theory and Physics, Les Houches, 1989," Springer Proc. in Physics, Vol. 47, pp. 185-193, Springer-Verlag, Berlin, 1990.
    • (1990) Springer Proc. in Physics , vol.47 , pp. 185-193
    • Dumont, J.M.1
  • 5
    • 0024680675 scopus 로고
    • Systèmes de numération et fonctions fractales relatifs aux substitutions
    • [DT89] J. M. Dumont and A. Thomas, Systèmes de numération et fonctions fractales relatifs aux substitutions, J. Theoret. Comput. Sci. 65 (1989), 153-169.
    • (1989) J. Theoret. Comput. Sci. , vol.65 , pp. 153-169
    • Dumont, J.M.1    Thomas, A.2
  • 6
    • 0000522838 scopus 로고
    • Digital sum problems and substitutions on a finite alphabet
    • [DT91] J. M. Dumont and A. Thomas, Digital sum problems and substitutions on a finite alphabet, J. Number Theory 39 (1991), 351-366.
    • (1991) J. Number Theory , vol.39 , pp. 351-366
    • Dumont, J.M.1    Thomas, A.2
  • 7
    • 0000199005 scopus 로고
    • Digital sum moments and substitutions
    • [DT93] J. M. Dumont and A. Thomas, Digital sum moments and substitutions, Acta Arith. 64 (1993), 205-225.
    • (1993) Acta Arith. , vol.64 , pp. 205-225
    • Dumont, J.M.1    Thomas, A.2
  • 9
    • 51249175212 scopus 로고
    • α-expansions, linear recurrences, and the sum-of-digits function
    • [GT91] P. Grabner and R. F. Tichy, α-expansions, linear recurrences, and the sum-of-digits function, Manuscripta Math. 70 (1991), 311-324.
    • (1991) Manuscripta Math. , vol.70 , pp. 311-324
    • Grabner, P.1    Tichy, R.F.2
  • 10
    • 84962998947 scopus 로고
    • A correlated digital sum problem associated with sums of three squares
    • [OS89] A. M. Osbaldestin and P. Shiu, A correlated digital sum problem associated with sums of three squares, Bull. London Math. Soc. 21 (1989), 369-374.
    • (1989) Bull. London Math. Soc. , vol.21 , pp. 369-374
    • Osbaldestin, A.M.1    Shiu, P.2
  • 11
    • 0004034109 scopus 로고
    • Springer-Verlag, New York/Berlin
    • [S73] V. Statulevic̃ius, Lecture Notes in Math., Vol. 330, pp. 433-443, Springer-Verlag, New York/Berlin, 1973.
    • (1973) Lecture Notes in Math. , vol.330 , pp. 433-443
    • Statulevic̃ius, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.