Elliptic dilogarithms and parallel lines

Mellit, Anton

doi:10.1016/j.jnt.2019.03.019

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Elliptic dilogarithms and parallel lines

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Mellit, Anton
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1016/j.jnt.2019.03.019
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arXiv:1207.4722.pdf
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Mellit, A. (2019). Elliptic dilogarithms and parallel lines. Journal of Number Theory, 204, 1-24. doi:10.1016/j.jnt.2019.03.019.

Cite as: https://hdl.handle.net/21.11116/0000-0004-F75B-0

Abstract

We prove Boyd's conjectures relating Mahler's measures and values of L-functions of elliptic curves in the cases when the corresponding elliptic curve has conductor 14.