A series and its associated continued fraction. (English) Zbl 0326.10030


11J70 Continued fractions and generalizations
11A63 Radix representation; digital problems
11J81 Transcendence (general theory)
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[1] J. W. S. Cassels, An introduction to Diophantine approximation, Cambridge Tracts in Mathematics and Mathematical Physics, No. 45, Cambridge University Press, New York, 1957. · Zbl 0077.04801
[2] G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford, at the Clarendon Press, 1954. 3rd ed. · Zbl 0058.03301
[3] K. F. Roth, Rational approximations to algebraic numbers, Mathematika 2 (1955), 1 – 20; corrigendum, 168. · Zbl 0064.28501
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