Repeated Modifications of Limit k-Periodic continued Fractions.
Lisa Jacobsen (1985)
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Lisa Jacobsen (1985)
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P. WYNN (1959)
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T.L. Hayden (1962)
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Anton Lukyanenko, Joseph Vandehey (2015)
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We provide a generalization of continued fractions to the Heisenberg group. We prove an explicit estimate on the rate of convergence of the infinite continued fraction and several surprising analogs of classical formulas about continued fractions.
S. G. Dani (2015)
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We introduce a general framework for studying continued fraction expansions for complex numbers, and establish some results on the convergence of the corresponding sequence of convergents. For continued fraction expansions with partial quotients in a discrete subring of ℂ an analogue of the classical Lagrange theorem, characterising quadratic surds as numbers with eventually periodic continued fraction expansions, is proved. Monotonicity and exponential growth are established for the...
W.J. Thron, H. Waadeland, L. Jacobsen (1987)
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