Yoshinori Mizuno
Abstract
We give a new proof of a recent result of Kohnen–Martin on a characterization of degree 2 Siegel cusp forms by the growth of their Fourier coefficients. Our main tools are Koecher–Maass series, Imai's converse theorem and the theory of singular modular forms.
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We give a new proof of a recent result of Kohnen–Martin on a characterization of degree 2 Siegel cusp forms by the growth of their Fourier coefficients. Our main tools are Koecher–Maass series, Imai's converse theorem and the theory of singular modular forms.
Key concepts: Mathematics, Cusp (singularity), Cusp form, Siegel modular form, Converse, Characterization (materials science), Degree (music), Fourier series