7 papers
Cusp forms and parabolic cohomology classes for symmetric spaces of rank one
Roelof Bruggeman, YoungJu Choie, Roberto Miatello +1
For any rank-one Riemannian symmetric space S of non-compact type and any discrete, cofinite, non-cocompact, torsion-free group of orientation-preserving Riemannian isometries…
Kronecker second limit formula for real quadratic fields
YoungJu Choie, Rahul Kumar
In this paper, the second Kronecker ``limit" formula for a real quadratic field is established for the first time. More precisely, we obtain the second Kronecker limit formula of Z…
Period Function of Maass forms from Ramanujan's Lost Notebook
YoungJu Choie, Rahul Kumar
The Lost Notebook of Ramanujan contains a number of beautiful formulas, one of which can be found on its page 220. It involves an interesting function, which we denote as $\mathcal…
Schubert Eisenstein series and Poisson summation for Schubert varieties
YoungJu Choie, Jayce R. Getz
The first author and Bump defined Schubert Eisenstein series by restricting the summation in a degenerate Eisenstein series to a particular Schubert variety. In the case of $\mathr…
Period functions for vector-valued Maass cusp forms of real weight, with an application to Jacobi Maass cusp forms
Anke Pohl, YoungJu Choie, Roelof Bruggeman
For vector-valued Maass cusp forms for~ with real weight~ and spectral parameter , , …
On Rankin-Cohen Brackets of Hecke Eigenforms and Modular Forms of Half-Integral Weight
YoungJu Choie, Winfried Kohnen, Yichao Zhang
We generalize the linear relation formula between the square of normalized Hecke eigenforms of weight and normalized Hecke eigenforms of weight , to Rankin-Cohen brackets o…