4 papers
Eisenstein Series on Metaplectic Covers and Multiple Dirichlet Series
Yanze Chen
We computed the first Whittaker coefficient of an Eisenstein series on a global metaplectic group induced from the torus and related the result with a Weyl group multiple Dirichlet…
Theta liftings for type dual pairs of loop groups
Yanze Chen, Yongchang Zhu
In this article we prove the theta liftings of a cusp form on the loop group induced from a classical cusp form for the loop group ``dual pair'' $(\mathrm{GL}_n,\ma…
Weil representations of twisted loop groups of type
Yanze Chen, Yongchang Zhu
We construct Weil representations of twisted loop groups of type over local fields. We prove that the associated cover of the twisted loop group is the two fold metaple…
On the convergence of the Kac-Moody Correction Factor
Yanze Chen
The Kac-Moody correction factor, first studied by Macdonald in the affine case, corrects the failure of an identity found by Macdonald in finite-dimensional root systems in 1972. S…