, Volume 59, Issue 6, pp 625-636

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.

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.