Two hypergeometric tales and a new irrationality measure of $$\zeta (2)$$ ζ ( 2 )

Author:

Zudilin Wadim

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference20 articles.

1. Androsenko, V.A., Salikhov, V.K.: Marcovecchio’s integral and an irrationality measure of $$\pi /\sqrt{3}$$ π / 3 . Vestnik Bryansk State Tech. Univ. 34(4), 129–132 (2011)

2. Bailey, W.N.: Some transformations of generalized hypergeometric series, and contour-integrals of Barnes’s type. Q. J. Math. (Oxford) 3(1), 168–182 (1932)

3. Bailey, W.N.: Generalized Hypergeometric Series. Cambridge University Press, Cambridge (1935)

4. Dauguet, S.; Zudilin, W.: On simultaneous diophantine approximations to $$\zeta (2)$$ ζ ( 2 ) and $$\zeta (3)$$ ζ ( 3 ) (2013, Preprint). arxiv:1401.5322 [math.NT]

5. Guillera, J.: WZ-proofs of “divergent” Ramanujan-type series. In: Kotsireas, I., Zima, E.V. (eds.) Advances in Combinatorics, Waterloo Workshop in Computer Algebra, W80 (May 26–29, 2011), pp. 187–195. Springer, Berlin (2013)

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