In this paper, we express the Mahler measure of a two-variable polynomial P(x,y)=(x2+1)y2+2(x2+x)y+x(x2+1) as a linear sum of some Bloch-Wigner Dilogarithm functions. and prove that the Mahler measure of P(x,y) is rationally proportional to L'(χ-3,-1):m(P(x,y))=5/2L'(χ-3,-1).
ZHANG Anhao
,
TANG Guoping
. Mahler measure of a two-variable polynomial[J]. Journal of University of Chinese Academy of Sciences, 2024
, 41(2)
: 145
-150
.
DOI: 10.7523/j.ucas.2022.060
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