An algebraic characterization of the Kronecker function
Number Theory
2019-09-24 v4
Abstract
We characterize the generating series of extended period polynomials of normalized Hecke eigenforms for studied by Zagier 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' to the Fay identity.
Cite
@article{arxiv.1806.04948,
title = {An algebraic characterization of the Kronecker function},
author = {Nils Matthes},
journal= {arXiv preprint arXiv:1806.04948},
year = {2019}
}
Comments
11 pages, final version, minor differences in abstract and acknowledgements compared to published version