Periods of Hilbert Modular forms, Kronecker series and Cohomology
Number Theory
2021-01-19 v1
Abstract
Generalizing a result of \cite{Z1991, CPZ} about elliptic modular forms, we give a closed formula for the sum of all Hilbert Hecke eigenforms over a totally real number field with strict class number , multiplied by their period polynomials, as a single product of the Kronecker series.
Keywords
Cite
@article{arxiv.2101.06357,
title = {Periods of Hilbert Modular forms, Kronecker series and Cohomology},
author = {YoungJu Choie},
journal= {arXiv preprint arXiv:2101.06357},
year = {2021}
}