Criteria for irrationality of Euler's constant

Proceedings of the American Mathematical Society

Volumn 131, Issue 11, 2003, Pages 3335-3344

  Sondow, Jonathan ^a  

^a NONE   (United States)

Author keywords

Ap ry's theorem; Asymptotic formula; Beukers' integrals; Combinatorial identity; Euler's constant; Fractional part; Harmonic number; Irrationality; Laplace's method; Linear form in logarithms; Prime Number Theorem

Indexed keywords

EID: 0142200252     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-03-07081-3     Document Type: Conference Paper

References (13)

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9. P. Sebah, personal communication, 30 July 2002.
10. J. Sondow, Hypergeometric and double integrals for Euler's constant, Amer. Math. Monthly, submitted.
11. _, A hypergeometric approach, via linear forms involving logarithms, to irrationality criteria for Euler's constant, CRM Conference Proceedings of CNTA 7 (May, 2002), to appear.
12. _, An irrationality measure for Liouville numbers and conditional measures for Euler's constant, in preparation.
13. W. Zudilin, One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational, Russian Math. Surveys 56:4 (2001), 774-776. MR 2002g:11090