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Periodicity of certain generalized continued fractions

Monatshefte für Mathematik, 2019
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Generalizing the continued fraction algorithm to arbitrary dimensions

30th Annual Symposium on Foundations of Computer Science, 1989
A new \(N\)-dimensional continued fraction algorithm is presented. Its most remarkable property is that it produces infinitely many solutions of the diophantine inequality \(\max_{1\leq i\leq N}| x_ i q-p_ i|\ll q^{-w(N)}\) with \(w(N)=1/2N(N+1)\). It also detects linear dependence.
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Generalized Lehner continued fractions

2023
Juan Fernández Sánchez   +3 more
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Generalized Notions of Continued Fractions

2023
Juan Fernández Sánchez   +3 more
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Generalized Fibonacci Continued Fractions

The Fibonacci Quarterly, 1988
A. G. Shannon, A. F. Horadam
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Generalized Hirzebruch-Jung continued fractions

2023
Juan Fernández Sánchez   +3 more
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Generalized Ternary Continued Fractions

The American Mathematical Monthly, 1950
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On irrationality exponents of generalized continued fractions

Journal of Number Theory, 2015
Jaroslav Hancl   +2 more
exaly  

Geometry of Continued Fractions

Algorithms and Computation in Mathematics, 2022
exaly  

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