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Jacobi forms that characterize paramodular forms

Published 15 Sep 2012 in math.NT | (1209.3438v1)

Abstract: The Fourier Jacobi expansions of paramodular forms are characterized from among all formal series of Jacobi forms by two conditions on the Fourier coeffcients of the Jacobi forms: a growth condition and a set of linear relations. Examples, both theoretical and computational, indicate that the growth condition may be superfluous.

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