Integral identities and constructions of approximations to zeta-values

Journal de Theorie des Nombres de Bordeaux

Volumn 15, Issue 2, 2003, Pages 535-550

  Nesterenko, Yuri V ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85009885066     PISSN: 12467405     EISSN: None     Source Type: Journal    
DOI: 10.5802/jtnb.412     Document Type: Article

References (9)

1. F. Beukers, A note on the irrationality of ζ(2) and ζ(3). Bull. London Math. Soc.11 (1979), 268-272
2. L.A. Gutnik, The irrationality of certain quantities involving ζ(3). Acta Arith.42 (1983), 255-264.
3. Yu L. Luke, Mathematical functions and their approximations. Academic Press, New York, 1975.
4. YU. Nesterenko, A few remarks on ζ(3). Math. Notes59 (1996), 625-636
5. T. Hessami-Pilerhood, Linear independence of vectors with polylogarithmic coordinates. Vestnik Moscow University Ser.1 (1999), no 6, 54-56.
6. T. Rivoal, La fonction Zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs. C. R. Acad. Sci. Paris 331 (2000), 267-270.
7. L.J. Slater, Generalized hypergeometric functions. Cambridge Univ. Press, 1966.
8. E.T. Whittaker, G.N. Watson, A course of modern analysis. CambdidgeUniversity Press, 1927.
9. V.V. Zudilin, On irrationality of values of Riemann zeta function. Izvestia of Russian Acad. Sci.66, 2002, 1-55