Lower bound for the Perron–Frobenius degrees of Perron numbers

Using an idea of Doug Lind, we give a lower bound for the Perron–Frobenius degree of a Perron number that is not totally real, in terms of the layout of its Galois conjugates in the complex plane. As an application, we prove that there are cubic Perron numbers whose Perron–Frobenius degrees are arbi...

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Bibliographic Details
Main Author: Yazdi, M
Format: Journal article
Language:English
Published: Cambridge University Press 2020