# 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} }

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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