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Periods of Hilbert Modular forms, Kronecker series and Cohomology (2101.06357v1)
Published 16 Jan 2021 in math.NT
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.
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