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刊物类别:Mathematics and Statistics
刊物主题:Mathematics Sciences Mathematics
出版者:Akad茅miai Kiad贸, co-published with Springer Science+Business Media B.V., Formerly Kluwer Academic
ISSN:1588-2632
文摘
Let \({\beta}\) be an algebraic power series over a finite field \({\mathbb{F}_{q}}\) such that \({\beta}\) is not Pisot or Salem series. We study the asymptotic behaviour of the function that counts the number of digit changes in the \({\beta}\) -expansion of 1. As a consequence, we get a transcendence criterion in \({\mathbb{F}_{q}(x)}\) .