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Volumn 123, Issue 1, 2007, Pages 133-143

Summation of series defined by counting blocks of digits

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EID: 33846292605     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnt.2006.06.001     Document Type: Article
Times cited : (8)

References (19)
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    • Addison, A.W.1
  • 2
    • 33846269203 scopus 로고
    • Sums of digits and the Hurwitz zeta function
    • Analytic Number Theory. Tokyo, 1988, Springer, Berlin
    • Allouche J.-P., and Shallit J. Sums of digits and the Hurwitz zeta function. Analytic Number Theory. Tokyo, 1988. Lecture Notes in Math. vol. 1434 (1990), Springer, Berlin 19-30
    • (1990) Lecture Notes in Math. , vol.1434 , pp. 19-30
    • Allouche, J.-P.1    Shallit, J.2
  • 6
    • 33750967857 scopus 로고    scopus 로고
    • Ramanujan's short unpublished manuscript on integrals and series related to Euler's constant
    • Théra M. (Ed), Amer. Math. Soc., Providence, RI
    • Berndt B.C., and Bowman D.C. Ramanujan's short unpublished manuscript on integrals and series related to Euler's constant. In: Théra M. (Ed). Constructive, Experimental and Nonlinear Analysis (2000), Amer. Math. Soc., Providence, RI 19-27
    • (2000) Constructive, Experimental and Nonlinear Analysis , pp. 19-27
    • Berndt, B.C.1    Bowman, D.C.2
  • 7
    • 33750970786 scopus 로고
    • Sur la constante d'Euler et la fonction de Binet
    • Catalan E. Sur la constante d'Euler et la fonction de Binet. J. Math. Pures Appl. 1 (1875) 209-240
    • (1875) J. Math. Pures Appl. , vol.1 , pp. 209-240
    • Catalan, E.1
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  • 12
    • 0043259569 scopus 로고
    • Paper folding, digit patterns, and groups of arithmetic fractals
    • Morton P., and Mourant W. Paper folding, digit patterns, and groups of arithmetic fractals. Proc. London Math. Soc. 59 (1989) 253-293
    • (1989) Proc. London Math. Soc. , vol.59 , pp. 253-293
    • Morton, P.1    Mourant, W.2
  • 13
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    • Advanced Problem 6450
    • Solution appeared in:
    • Shallit J. Advanced Problem 6450. Amer. Math. Monthly 91 (1984) 59-60 Solution appeared in:
    • (1984) Amer. Math. Monthly , vol.91 , pp. 59-60
    • Shallit, J.1
  • 14
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    • Advanced Problem 6450
    • Shallit J. Advanced Problem 6450. Amer. Math. Monthly 92 (1985) 513-514
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    • Shallit, J.1
  • 15
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    • Double integrals for Euler's constant and ln (4 / π) and an analog of Hadjicostas's formula
    • Sondow J. Double integrals for Euler's constant and ln (4 / π) and an analog of Hadjicostas's formula. Amer. Math. Monthly 112 (2005) 61-65
    • (2005) Amer. Math. Monthly , vol.112 , pp. 61-65
    • Sondow, J.1
  • 17
    • 33846293521 scopus 로고    scopus 로고
    • J. Sondow, W. Zudilin, Euler's constant, q-logarithms, and formulas of Ramanujan and Gosper, Ramanujan J., in press
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    • A new series for the Eulerian constant γ = 0.577 ...
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    • Vacca, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.