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arXiv · 2101.06357

Periods of Hilbert Modular forms, Kronecker series and Cohomology

YoungJu Choie
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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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YoungJu Choie. 2021-01-16. Periods of Hilbert Modular forms, Kronecker series and Cohomology. https://arxiv.org/abs/2101.06357

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