arXiv:2101.06357 Abstract | arXiv Analytics

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Periods of Hilbert Modular forms, Kronecker series and Cohomology

Published 2021-01-16Version 1

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.

Categories: math.NT

Subjects: 11F41, 11F50, 11F60, 11F67

Keywords: hilbert modular forms, kronecker series, cohomology, strict class number, hilbert hecke eigenforms

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