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'(x-3,-1):m(P(x,y))=5/2L'(x-3,-1).
Mahler measureBloch-Wigner dilogarithm functionsspecial values of L-functions
万方数据
维普
