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arXiv:0802.2139 [math.NT]AbstractReferencesReviewsResources

Jacobi forms of degree one

Shunsuke Yamana

Published 2008-02-15, updated 2008-08-10Version 4

We show that a certain subspace of space of elliptic cusp forms is isomorphic as a Hecke module to a certain subspace of space of Jacobi cusp forms of degree one with matrix index by constructing an explicit lifting. This is a partial generalization of the work of Skoruppa and Zagier. This lifting is also related with the Ikeda lifting.

Comments: 49 pages of text
Categories: math.NT
Subjects: 11F50
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