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math.NT2013
Cohomological relation between Jacobi forms and skew-holomorphic Jacobi forms
Dohoon Choi, Subong Lim
Eichler and Zagier developed a theory of Jacobi forms to understand and extend Maass' work on the Saito-Kurokawa conjecture. Later Skoruppa introduced skew-holomorphic Jacobi forms…
math.NT2012★ 5 cited
The Eichler cohomology theorem for Jacobi forms
Dohoon Choi, Subong Lim
Let be a finitely generated Fuchsian group of the first kind which has at least one parabolic class. Eichler introduced a cohomology theory for Fuchsian groups, called as "Eich…
math.NT2011
Theta liftings on weak Maass forms
YoungJu Choie, Subong Lim
We construct theta liftings from half-integral weight weak Maass forms to even integral weight weak Maass forms by using regularized theta integral. Moreover it gives an extension…