Rogers, Mathew; Zudilin, Wadim On the Mahler measure of \(1+X+1/X+Y +1/Y\). (English) Zbl 1378.11091 Int. Math. Res. Not. 2014, No. 9, 2305-2326 (2014). 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. Cited in 6 ReviewsCited in 23 Documents 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 PDF BibTeX XML Cite \textit{M. Rogers} and \textit{W. Zudilin}, Int. Math. Res. Not. 2014, No. 9, 2305--2326 (2014; Zbl 1378.11091) Full Text: DOI arXiv Online Encyclopedia of Integer Sequences: Expansion of (b(q^3) - b(q)) / 3 in powers of q where b() is a cubic AGM theta function.