Year: 2019
Type: article
Abstract: We characterize Zagier’s generating series of extended period polynomials of normalized Hecke eigenforms for $${{\,\mathrm{PSL}\,}}_2(\mathbb {Z})$$ 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.
Author: Nils Matthes
Institution: Kyushu University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $1,990
OpenAlex ID: W2807749167