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arXiv · 1409.1511

On irrationality exponents of generalized continued fractions

Jaroslav Hancl·Kalle Leppälä·Tapani Matala-aho·Topi Törmä
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Abstract

We study how the asymptotic irrationality exponent of a given generalized continued fraction \[ \K_{n=1}^\infty \frac{a_n}{b_n}\,,\quad a_n, b_n\in \mathbb{Z}^+, \] behaves as a function of growth properties of partial coefficient sequences $(a_n)$ and $(b_n)$.

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Jaroslav Hancl, Kalle Leppälä, Tapani Matala-aho, Topi Törmä. 2014-09-04. On irrationality exponents of generalized continued fractions. https://arxiv.org/abs/1409.1511

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