Periods of Hilbert Modular forms, Kronecker series and Cohomology

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 $1$, multiplied by their period polynomials, as a single product of the Kronecker series.

References in corpus (1)

• Algebraic theta functions and p-adic interpolation of Eisenstein-Kronecker numbers