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

Posted on:2019-07-02Degree:Ph.DType:Dissertation
University:University of California, BerkeleyCandidate:Ladd, Watson BernardFull Text:PDF
GTID:1475390017988550Subject:Mathematics
Abstract/Summary:
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.
Keywords/Search Tags:Forms
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