669 citations
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Showing 2016 · math.NTShow all
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math.NT2016★ 8 cited
Siegel Paramodular Forms of Weight 2 and Squarefree Level
Cris Poor, Jerry Shurman, David S. Yuen
We compute the space of weight Siegel paramodular cusp forms of squarefree level . In conformance with the paramodular conjecture of A. Brumer and K. Kramer,…
math.NT2016★ 6 cited
Using Katsurada's Determination of the Eisenstein Series to Compute Siegel Eigenforms
Oliver D. King, Cris Poor, Jerry Shurman +1
We compute Hecke eigenform bases of spaces of level one, degree~three Siegel modular forms and 2-Euler factors of the eigenforms through weight 22. Our method uses the Fourier coef…