Shinder, Evgeny

Vlasenko, Masha

English

We consider the Mahler measure of the polynomial 1+x_1+x_2+x_3+x_4, which is the first case not yet evaluated explicitly. A conjecture due to F. Rodriguez-Villegas represents this Mahler measure as a special value at the point 4 of the L-function of a modular modular form of weight 3. We prove that this Mahler measure is equal to a linear combination of double L-values of certain meromorphic modular forms of weight 4

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Linear Mahler Measures and Double L-values of Modular Forms

https://www.pure.ed.ac.uk/ws/files/8179714/1206.1454v3

Linear Mahler Measures and Double L-values of Modular Forms

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