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math.NT2014
Products of Vector Valued Eisenstein Series
Martin Westerholt-Raum
We prove that products of at most two vector valued Eisenstein series that originate in level 1 span all spaces of cusp forms for congruence subgroups. This can be viewed as an ana…
math.NT2014
Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series
Jan Hendrik Bruinier, Martin Westerholt-Raum
We prove modularity of formal series of Jacobi forms that satisfy a natural symmetry condition. They are formal analogues of Fourier-Jacobi expansions of Siegel modular forms. From…