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arXiv:1304.3869 [math.NT]AbstractReferencesReviewsResources

Regulator of modular units and Mahler measures

Wadim Zudilin

Published 2013-04-14, updated 2013-10-06Version 2

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.

Comments: 15 pages
Journal: Math. Proc. Cambridge Philos. Soc. 156:2 (2014) 313--326
Categories: math.NT, math.AG, math.CA, math.KT
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