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arXiv · 1406.5138

Limiting value of higher Mahler measure

Arunabha Biswas·Chris Monico
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Abstract

We consider the $k$-higher Mahler measure $m_k(P)$ of a Laurent polynomial $P$ as the integral of $\log ^k \left| P \right|$ over the complex unit circle. In this paper we derive an explicit formula for the value of $\left| m_k(P) \right|/k!$ as $k \to \infty.$

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Arunabha Biswas, Chris Monico. 2014-06-19. Limiting value of higher Mahler measure. https://arxiv.org/abs/1406.5138

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