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- W3100103114 abstract "In this paper we prove that the Mahler measures of the Laurent polynomials (x+x −1)(y+y −1)(z+z −1)+k 1/2, (x+x −1)2(y+y −1)2(1+z)3 z −2−k, and x 4+y 4+z 4+1+k 1/4 xyz, for various values of k, are of the form r 1 L′(f,0)+r 2 L′(χ,−1), where $r_{1},r_{2}in mathbb{Q}$ , f is a CM newform of weight 3, and χ is a quadratic character. Since it has been proved that these Mahler measures can also be expressed in terms of logarithms and 5 F 4-hypergeometric series, we obtain several new hypergeometric evaluations and transformations from these results." @default.
- W3100103114 created "2020-11-23" @default.
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- W3100103114 date "2013-06-04" @default.
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- W3100103114 title "Three-variable Mahler measures and special values of modular and Dirichlet L-series" @default.
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- W3100103114 doi "https://doi.org/10.1007/s11139-013-9464-4" @default.
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