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A few remarks on ζ(3)

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Abstract

A new proof of the irrationality of the number ζ(3) is proposed. A new decomposition of this number into a continued fraction is found. Recurrence relations are proved for some sequences of Meyer'sG-functions that define a sequence of rational approximations to ζ(3) at the point 1.

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Authors and Affiliations

  1. Moscow State University, USSR

    Yu. V. Nesterenko

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  1. Yu. V. Nesterenko
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Additional information

Translated fromMatematicheskie Zametki, Vol. 59, No. 6, pp. 865–880, June, 1996.

This research was partially supported by the Russian Foundation for Basic Research under grant No. 94-01-00739.

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Nesterenko, Y.V. A few remarks on ζ(3). Math Notes 59, 625–636 (1996). https://doi.org/10.1007/BF02307212

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  • DOI: https://doi.org/10.1007/BF02307212

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