ZAGIER DUALITY FOR THE EXPONENTS OF BORCHERDS PRODUCTS FOR HILBERT MODULAR FORMS
Published online by Cambridge University Press: 24 April 2006
Abstract
A certain sequence of weight $1/2$ modular forms arises in the theory of Borcherds products for modular forms for $\textrm{SL}_{2}(\Z)$. Zagier proved a family of identities between the coefficients of these weight $1/2$ forms and a similar sequence of weight $3/2$ modular forms, which interpolate traces of singular moduli. We obtain the analogous results for modular forms arising from Borcherds products for Hilbert modular forms.
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- The London Mathematical Society 2006
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