NTS ABSTRACTSpring2025

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Jan 30

L-values and the Mahler measures of polynomials

Xuejun Guo (Nanjing University)

When the zero locus of a tempered polynomial f(x,y) defines an elliptic curve E, the  value L(E,2) is related to the Mahler measure of  f(x,y). In this talk,  we will explore explicit identities that connect these L-values with Mahler measures for several families of polynomials.