# 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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