On the Mahler measure of $1+X+1/X+Y+1/Y$

Details On the Mahler measure of $1+X+1/X+Y+1/Y$ On the Mahler measure of $1+X+1/X+Y+1/Y$

2011-02-06

arxiv.org/abs/1102.1153v3

Mathematics

Number Theory

18 pages, Fixed typos in Lemmas 3 and 4

Scientific paper

We prove a conjectured formula relating the Mahler measure of the Laurent
polynomial $1+X+X^{-1}+Y+Y^{-1}$, to the $L$-series of a conductor 15 elliptic
curve.

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