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- W2805183359 abstract "We consider Mahler functions $f(z)$ which solve the functional equation $f(z) = frac{A(z)}{B(z)} f(z^d)$ where $frac{A(z)}{B(z)}in mathbb{Q}(z)$ and $dge 2$ is integer. We prove that for any integer $b$ with $|b|ge 2$ either $f(b)$ is rational or its irrationality exponent is rational. We also compute the exact value of the irrationality exponent for $f(b)$ as soon as the continued fraction for the corresponding Mahler function is known. This improves the result of Bugeaud, Han, Wei and Yao where only an upper bound for the irrationality exponent was provided." @default.
- W2805183359 created "2018-06-13" @default.
- W2805183359 creator A5027646711 @default.
- W2805183359 date "2018-06-08" @default.
- W2805183359 modified "2023-09-27" @default.
- W2805183359 title "On spectrum of irrationality exponents of Mahler numbers" @default.
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