an expansion in terms of Sheffer sequences of polynomials. This expansion of the Riemann zeta is investigated in the following references. The coefficients are decreasing as References General references A. Ya. Khinchin, Continued Fractions, 1935, English translation University of Chicago Press, 1961 (See section 15). K. I. Babenko, On a Problem of Gauss, Soviet Mathematical Doklady 19:136–140 (1978) K. I. Babenko and S. P. Jur'ev, On the Discretization of a Problem of Gauss, Soviet Mathematical Doklady 19:731–735 (1978). A. Durner, On a Theorem of Gauss–Kuzmin–Lévy. Arch. Math. 58, 251–256, (1992). A. J. MacLeod, High-Accuracy Numerical Values of the Gauss–Kuzmin Continued Fraction Problem. Computers Math. Appl. 26, 37–44, (1993). E. Wirsing, On the Theorem of Gauss–Kuzmin–Lévy and a Frobenius-Type Theorem for Function Spaces. Acta Arith. 24, 507–528, (1974). Further reading Keith Briggs, A precise computation of the Gauss–Kuzmin–Wirsing constant (2003) (Contains a very extensive collection of references.) Phillipe Flajolet and Brigitte Vallée, On the Gauss–Kuzmin–Wirsing Constant (1995). Linas Vepstas The Bernoulli Operator, the Gauss–Kuzmin–Wirsing Operator, and the Riemann Zeta (2004) (PDF) External links Continued fractions Dynamical systems