## On the Mahler measure of $$1+X+1/X+Y +1/Y$$.(English)Zbl 1378.11091

Summary: We prove a conjectural 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.

### MSC:

 11R06 PV-numbers and generalizations; other special algebraic numbers; Mahler measure 11G05 Elliptic curves over global fields

### Keywords:

Mahler measure; Laurent polynomial; elliptic curve; $$L$$-series
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