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arxiv: 1701.06380 · v1 · pith:KX47TUI4new · submitted 2017-01-23 · 🧮 math.NT

Determinants of Laplacians on Hilbert modular surfaces

classification 🧮 math.NT
keywords determinantshilbertlaplaciansmodularactingdescribedfieldforms
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We study regularized determinants of Laplacians acting on the space of Hilbert-Maass forms for the Hilbert modular group of a real quadratic field. We show that these determinants are described by Selberg type zeta functions introduced in [4,5].

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