An algebraic characterization of the Kronecker function

@article{Matthes2019AnAC,
  title={An algebraic characterization of the Kronecker function},
  author={Nils Matthes},
  journal={Research in the Mathematical Sciences},
  year={2019},
  volume={6},
  pages={1-13}
}
  • Nils Matthes
  • Published 13 June 2018
  • Mathematics
  • Research in the Mathematical Sciences
We characterize Zagier’s generating series of extended period polynomials of normalized Hecke eigenforms for $${{\,\mathrm{PSL}\,}}_2(\mathbb {Z})$$PSL2(Z) in terms of the period relations and existence of a suitable factorization. For this, we prove a characterization of the Kronecker function as the “fundamental solution” of the Fay identity. 
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