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Seesaw Identities and Theta Contractions with Generalized Theta Functions, and Restrictions of Theta Lifts

Published 13 Sep 2020 in math.NT | (2009.06012v1)

Abstract: We prove a seesaw identity for theta functions with polynomials, and establish a formula for the corresponding theta contractions. We then use it to determine the restrictions of theta lifts to sub-Grassmannians, with some applications.

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