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98.13 Some double series related to ζ(3)

Published online by Cambridge University Press:  23 January 2015

Tim Jameson
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The Mathematical Gazette , Volume 98 , Issue 542 , July 2014 , pp. 327 - 331
Copyright
Copyright © Mathematical Association 2014 

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References

1. Apéry, R., Interpolation de fractions continues et irrationalité de certaines constantes, Math. CTHS Bull. Sec. Sci. III, Bibl. Nat. Paris (1981), pp. 37–53.Google Scholar
2. Beukers, F., A note on the irrationality of ζ (2) and ζ (3), Bull. London Math. Soc. 11 (1979), pp. 268–272.Google Scholar
3. Borwein, Jonathan M. and Bradley, David M., Thirty-two Goldbach variations, Int. J. Number Theory 2 (2006), pp. 65–103; also at: arxiv.org/abs/math/0502034, pp. 1-41.Google Scholar
4. Steinberg, R., Solution to problem 4431, Amer. Math. Monthly 59 (1952), pp. 471–472.Google Scholar
5. Solution to Problem 89D, Math. Gaz. 89 (2005), p. 541.Google Scholar
6. Hjortnaes, M. M., Overføring av rekken ∞Σk=1 1/k3 til et bestemt integral, Proc. 12th Congo Scand. Math. (Lund, 1953), Lund (1954).Google Scholar
7. Jameson, Tim, Polylogarithms, multiple zeta values and the series of Hjortnaes and Comtet, at: www.maths.Iancs.ac.uk/~jameson Google Scholar