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arXiv · 1304.3869

Regulator of modular units and Mahler measures

Wadim Zudilin
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Abstract

We present a proof of the formula, due to Mellit and Brunault, which evaluates an integral of the regulator of two modular units to the value of the $L$-series of a modular form of weight 2 at $s=2$. Applications of the formula to computing Mahler measures are discussed.

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Wadim Zudilin. 2013-10-06. Regulator of modular units and Mahler measures. https://doi.org/10.1017/s0305004113000765

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