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Volumn 108, Issue 3, 2001, Pages 222-231

Similarities in irrationality proofs for π, ln2, ζ(2), and ζ(3)

(1)  Huylebrouck, Dirk a  

a NONE   (Belgium)

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Indexed keywords


EID: 0035586101     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2695383     Document Type: Article
Times cited : (20)

References (14)
  • 1
    • 0039536645 scopus 로고
    • A proof that Euler missed: Evaluating ζ(2) the easy way
    • Tom M. Apostol, A Proof that Euler Missed: Evaluating ζ(2) the Easy Way, Math. Intelligencer 5 (1983) 59-60.
    • (1983) Math. Intelligencer , vol.5 , pp. 59-60
    • Apostol, T.M.1
  • 3
    • 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
  • 4
    • 0038944132 scopus 로고
    • Sums of generalized harmonic series and volumes
    • F. Beukers, J. A. C. Kolk, and E. Calabi, Sums of generalized harmonic series and volumes, Nieuw Arch. Wish. (4) 11 (1993) 217-224.
    • (1993) Nieuw Arch. Wish. , vol.11 , Issue.4 , pp. 217-224
    • Beukers, F.1    Kolk, J.A.C.2    Calabi, E.3
  • 7
    • 0029442215 scopus 로고
    • All that glitters: A review of psychological research on the aesthetics of the golden section
    • Christopher D. Green, All that Glitters: A Review of Psychological Research on the Aesthetics of the Golden Section, Perception 24 (1995) 937-968.
    • (1995) Perception , vol.24 , pp. 937-968
    • Green, C.D.1
  • 10
    • 0037711661 scopus 로고
    • Six ways to sum a series
    • Dan Kalman, Six Ways to Sum a Series, College Math. J. 24 (1993) 402-421.
    • (1993) College Math. J. , vol.24 , pp. 402-421
    • Kalman, D.1
  • 12
    • 0040471165 scopus 로고
    • Misconceptions about the golden ratio
    • George Markowsky, Misconceptions about the Golden Ratio, College Math. J. 23 (1992) 2-19.
    • (1992) College Math. J. , vol.23 , pp. 2-19
    • Markowsky, G.1
  • 13
    • 84966253336 scopus 로고
    • A simple proof that π is irrational
    • I. Niven, A Simple Proof that π is Irrational, Bull. Amer. Math. Soc. 53 (1947) 509.
    • (1947) Bull. Amer. Math. Soc. , vol.53 , pp. 509
    • Niven, I.1
  • 14
    • 65749309992 scopus 로고
    • A proof that Euler missed... Apéry's proof of the irrationality of ζ(3), an informal report
    • A. van der Poorten, A Proof that Euler Missed... Apéry's Proof of the Irrationality of ζ(3), An informal report, Math. Intelligencer 1 (4) (1978/79) 195-203.
    • (1978) Math. Intelligencer , vol.1 , Issue.4 , pp. 195-203
    • Van Der Poorten, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.