Siegel Eisenstein Series with Paramodular Level
Abstract
Starting with a primitive Dirichlet character of conductor N, we construct a paramodular Siegel Eisenstein series of level N2 and weight k≥4. We calculate the Fourier expansion of the holomorphic Siegel modular form thus constructed. The function is a paramodular newform, and its adelization generates an irreducible automorphic representation.
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