Jacobi forms of degree one

Mathematics – Number Theory

Scientific paper

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49 pages of text

Scientific paper

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.

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