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Volumn 112, Issue 1, 2005, Pages 61-65

Double integrals for euler's constant and in 4/π and an analog of hadjicostas's formula

(1)  Sondow, Jonathan a  

a NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords


EID: 11844267205     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/30037385     Document Type: Article
Times cited : (48)

References (20)
  • 2
    • 0000356657 scopus 로고
    • A note on the irrationality of ζ (2) and ζ (3)
    • F. Beukers, A note on the irrationality of ζ (2) and ζ (3), Bull. London Math. Soc. 11 (1979) 268-272.
    • (1979) Bull. London Math. Soc. , vol.11 , pp. 268-272
    • Beukers, F.1
  • 6
    • 0011035926 scopus 로고
    • Leonhard Euler's integral: A historical profile of the gamma function
    • P. Davis, Leonhard Euler's integral: A historical profile of the gamma function, this MONTHLY 66 (1959) 849-869.
    • (1959) This Monthly , vol.66 , pp. 849-869
    • Davis, P.1
  • 7
    • 0039116136 scopus 로고    scopus 로고
    • Euler: The master of us all
    • Mathematical Association of America, Washington, D.C.
    • W. Dunham, Euler: The Master of Us All, Dolciani Mathematical Expositions 22, Mathematical Association of America, Washington, D.C., 1999.
    • (1999) Dolciani Mathematical Expositions , vol.22
    • Dunham, W.1
  • 8
    • 0011036407 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • S. Finch, Mathematical Constants, Cambridge University Press, Cambridge, 2003.
    • (2003) Mathematical Constants
    • Finch, S.1
  • 10
    • 11844257321 scopus 로고    scopus 로고
    • personal communication, 30 May
    • _, personal communication, 30 May 2004.
    • (2004)
  • 12
    • 0035586101 scopus 로고    scopus 로고
    • Similarities in irrationality proofs for π, in 2, ζ (2) and ζ (3)
    • D. Huylebrouck, Similarities in irrationality proofs for π, In 2, ζ (2) and ζ (3), this MONTHLY 108 (2001) 222-231.
    • (2001) This Monthly , vol.108 , pp. 222-231
    • Huylebrouck, D.1
  • 13
    • 84966231869 scopus 로고
    • Analytic continuation of Riemann's zeta function and values at negative integers via Euler's transformation of series
    • J. Sondow, Analytic continuation of Riemann's zeta function and values at negative integers via Euler's transformation of series, Proc. Amer. Math. Soc. 120 (1994) 421-424.
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 421-424
    • Sondow, J.1
  • 14
    • 11844264319 scopus 로고    scopus 로고
    • An antisymmetric formula for Euler's constant
    • _, An antisymmetric formula for Euler's constant, Math. Mag. 71 (1998) 219-220.
    • (1998) Math. Mag. , vol.71 , pp. 219-220
  • 15
    • 0038662840 scopus 로고    scopus 로고
    • Zeros of the alternating zeta function on the line κ(s) = 1
    • _, Zeros of the alternating zeta function on the line κ(s) = 1, this MONTHLY 110 (2003) 435-437.
    • (2003) This Monthly , vol.110 , pp. 435-437
  • 16
    • 0142200252 scopus 로고    scopus 로고
    • Criteria for irrationality of Euler's constant
    • _, Criteria for irrationality of Euler's constant, Proc. Amer. Math. Soc. 131 (2003) 3335-3344.
    • (2003) Proc. Amer. Math. Soc. , vol.131 , pp. 3335-3344
  • 17
    • 84860079454 scopus 로고    scopus 로고
    • A faster product for π and a new integral for ln(π/2)
    • to appear
    • _, A faster product for π and a new integral for ln(π/2), this MONTHLY (to appear); available at http://arXiv.org/abs/math/0401406.
    • This Monthly
  • 20
    • 65749309992 scopus 로고
    • A proof that Euler missed... Apéry's proof of the irrationality of ζ (3)
    • A. van der Poorten, A proof that Euler missed... Apéry's proof of the irrationality of ζ (3), Math. Intelligencer 1 (1979) 195-203.
    • (1979) Math. Intelligencer , vol.1 , pp. 195-203
    • Van Der Poorten, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.