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Regulator of Modular Units and Mahler Measures

Wadim Zudilin

出版	Max-Planck-Inst. für Mathematik, 2013
URL	http://books.google.com.hk/books?id=kPcsvwEACAAJ&hl=&source=gbs_api

註釋

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.