Average CM-values of Higher Green's Function and Factorization

Published 20 Dec 2018 in math.NT | (1812.08523v2)

Abstract: In this paper, we prove an averaged version of an algebraicity conjecture in \cite{GKZ87} concerning the values of higher Green's function at CM points. Furthermore, we give the factorization of the ideal generated by such algebraic value in the spirit of the famous work of Gross and Zagier on singular moduli.

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Authors (1)

Yingkun Li

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