An algebraic characterization of the Kronecker function

Author: 

Matthes, N

Publication Date: 

17 June 2019

Journal: 

Research in the Mathematical Sciences

Last Updated: 

2021-04-28T13:49:47.3+01:00

Issue: 

2019

Volume: 

6

DOI: 

10.1007/s40687-019-0186-0

abstract: 

We characterize Zagier’s generating series of extended period polynomials of normalized Hecke eigenforms for 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.

Symplectic id: 

1003647

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article