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arXiv · 1708.02466

The Mahler measure for arbitrary tori

Matilde Lalin·Tushant Mittal
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Abstract

We consider a variation of the Mahler measure where the defining integral is performed over a more general torus. We focus our investigation on two particular polynomials related to certain elliptic curve $E$ and we establish new formulas for this variation of the Mahler measure in terms of $L'(E,0)$.

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Matilde Lalin, Tushant Mittal. 2017-08-08. The Mahler measure for arbitrary tori. https://arxiv.org/abs/1708.02466

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