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Algebraic Modular Forms on SO5(Q) and the Computation of Paramodular Forms

Abstract

This dissertation describes a result that compares two level subgroups on different inner forms of GSp(4), and then uses this result and a conjecture of Ibukiyama’s to compute paramodular forms for all prime levels below 400. In the process 78 generic forms were computed, of which 47 had not been previously computed.

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