A few remarks on ζ(3)

R. Apery, “Irrationalité de ζ(2) et ζ(3),”Astérisque,61, 11–13 (1979).

H. Cohen, “Démonstration de l'irrationalité de ζ(3) (d'après R. Apery),” in:Semin. de théorie des nombres, Grenoble (1978).

A. van der Poorten, “A proof that Euler missed—Apery's proof of the irrationality of ζ(3),”Math. Intell.,1, 195–203 (1979).

E. Reyssat, “Irrationalité de ζ(3), selon Apery,” in:20 année. Seminaire Delange-Pisot-Poitou, (1978/79), p. 6.

F. Beukers, “A note on the irrationality of ζ(2) and ζ(3),”Bull. London Math. Soc.,11, 268–272 (1979).

M. Hata, “On the linear independence of the values of polylogarithmic functions,”J. math. pures et appl.,69, 133–173 (1990).

L. A. Gutnik, “On the irrationality of certain quantities involving ζ(3),”Uspekhi Mat. Nauk [Russian Math. Surveys],34, No. 3, 190 (1979). Translation in:Acta Arith.,42 No. 3, 255–264 (1983).

Y. L. Luke,Mathematical Functions and Their Approximations, Academic Press, New York-San Francisko-London (1975).

F. Beukers, “Pade approximations in number theory,” in:Lecture Notes in Math, Vol. 888, Springer-Verlag, New York-Berlin (1981), pp. 90–99.

V. N. Sorokin, “Hermite-Pade approximations for Nikishin systems and the irrationality of ζ(3),”Uspekhi Mat. Nauk [Russian Math. Surveys],49, No. 2, 167–168 (1994).

W. B. Jones and W. J. Thron,Continued Fractions. Analytic Theory and Applications, Encyclopedia of Mathematics and Its Applications, Vol. 11, Addison-Wesley, Reading, Mass. (1980).

A. O. Gelfond,Calculus of Finite Differences [in Russian], Nauka, Moscow (1967).