Corpus ID: 119173779

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

  title={Average CM-values of Higher Green's Function and Factorization},
  author={Yingkun Li},
  journal={arXiv: Number Theory},
  • Yingkun Li
  • Published 2018
  • Mathematics
  • arXiv: Number Theory
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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