A Theorem on Divergence in the General Sense for Continued Fractions

28 Dec 2018 Bowman Douglas Laughlin James Mc

If the odd and even parts of a continued fraction converge to different values, the continued fraction may or may not converge in the general sense. We prove a theorem which settles the question of general convergence for a wide class of such continued fractions... (read more)

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  • NUMBER THEORY