Geometrization of summation formulae for quadrics

Published 31 May 2026 in math.NT | (2606.01491v1)

Abstract: We geometrize the Poisson summation formula for the zero locus of a split quadratic form in an even number of variables over number fields. We do so by making explicit the relationship between Schwartz spaces on quadrics defined in two different ways: via Braverman-Kazhdan spaces and via theta lifts.

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Chun-Hsien Hsu

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