将一个二元多项式P(x,y)=(x2+1)y2+2(x2+x)y+x(x2+1)的Mahler测度表达成一些Bloch-Wigner双对数函数的线性和,进而得到其与χ-3的L函数特殊值的有理倍数关系:m(P(x,y))=5/2L'(χ-3,-1)。
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).
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