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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
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