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paul garrett
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I am looking for a Siegel modular form of genus $2$ (living on the SielgeSiegel modular 3-fold $A_2=\mathbb{H}/\mathrm{Sp}(4,\mathbb{Z})$$A_2=\mathrm{Sp}(4,\mathbb{Z})\backslash \mathfrak H_2$) which becomes "roughly" the product of two eta functions on the locus where the parametrized abelian surface is the product of two elliptic curves. Here "roughly" means up to multiplication by something like e^{\pi i \tau/12}$e^{\pi i \tau/12}$.

Does anyone know a reference for this sort of result?

I am looking for a Siegel modular form of genus $2$ (living on the Sielge modular 3-fold $A_2=\mathbb{H}/\mathrm{Sp}(4,\mathbb{Z})$) which becomes "roughly" the product of two eta functions on the locus where the parametrized abelian surface is the product of two elliptic curves. Here "roughly" means up to multiplication by something like e^{\pi i \tau/12}.

Does anyone know a reference for this sort of result?

I am looking for a Siegel modular form of genus $2$ (living on the Siegel modular 3-fold $A_2=\mathrm{Sp}(4,\mathbb{Z})\backslash \mathfrak H_2$) which becomes "roughly" the product of two eta functions on the locus where the parametrized abelian surface is the product of two elliptic curves. Here "roughly" means up to multiplication by something like $e^{\pi i \tau/12}$.

Does anyone know a reference for this sort of result?

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user9072
user9072

A SiegleSiegel modular form related to the product of two eta functions

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GH from MO
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A Siegle modular form related to the product of two eta functions.

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