Add to ORKGIn this thesis, we introduce a new space of Hermitian Jacobi forms, and we determine its structure. As an application, we study heat cycles of Hermitian Jacobi forms, and we establish a criterion for the existence of U(p) congruences of Hermitian Jacobi forms. We demonstrate that criterion with some explicit examples. Finally, in the appendix we give tables of Fourier series coefficients of several Hermitian Jacobi forms
We extend the usual notion of Petersson inner product on the space of cuspidal Jacobi forms to inclu...
Real-analytic Jacobi forms play key roles in different areas of mathematics and physics, but a satis...
In previous work, we introduced harmonic Maass–Jacobi forms. The space of such forms includes the cl...
Abstract. We investigate the action of the heat operator on Jacobi forms. In particular, we present ...
In this thesis, we define differential operators for Hermitian Jacobi forms and Hermitian modular fo...
Along with explaining the Saito-Kurokawa lift, Eichler and Zagier's book gives the main structural t...
Abstract. We consider congruences and filtrations of Jacobi forms. More specifically, we extend Tate...
The classical theory of Jacobi forms on (mathcal{H}_1 imes C), was systematically described by Eichl...
AbstractIn this paper we describe the space of Jacobi forms on H×Cn. This type of Jacobi forms appea...
Jacobi forms arise naturally in number theory in several ways: theta series arise as functions of la...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
This master s thesis is intended to give a presentation of the theory of congruences between the Fou...
We consider a differential operator DX λ associated to an integer λ acting on the space of for-mal p...
We prove that formal Fourier Jacobi expansions of degree two are Siegel modular forms. As a corollar...
DoctorIn this dissertation, a sufficient condition for a Jacobi form f of weight k, index m and leve...
We extend the usual notion of Petersson inner product on the space of cuspidal Jacobi forms to inclu...
Real-analytic Jacobi forms play key roles in different areas of mathematics and physics, but a satis...
In previous work, we introduced harmonic Maass–Jacobi forms. The space of such forms includes the cl...
Abstract. We investigate the action of the heat operator on Jacobi forms. In particular, we present ...
In this thesis, we define differential operators for Hermitian Jacobi forms and Hermitian modular fo...
Along with explaining the Saito-Kurokawa lift, Eichler and Zagier's book gives the main structural t...
Abstract. We consider congruences and filtrations of Jacobi forms. More specifically, we extend Tate...
The classical theory of Jacobi forms on (mathcal{H}_1 imes C), was systematically described by Eichl...
AbstractIn this paper we describe the space of Jacobi forms on H×Cn. This type of Jacobi forms appea...
Jacobi forms arise naturally in number theory in several ways: theta series arise as functions of la...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
This master s thesis is intended to give a presentation of the theory of congruences between the Fou...
We consider a differential operator DX λ associated to an integer λ acting on the space of for-mal p...
We prove that formal Fourier Jacobi expansions of degree two are Siegel modular forms. As a corollar...
DoctorIn this dissertation, a sufficient condition for a Jacobi form f of weight k, index m and leve...
We extend the usual notion of Petersson inner product on the space of cuspidal Jacobi forms to inclu...
Real-analytic Jacobi forms play key roles in different areas of mathematics and physics, but a satis...
In previous work, we introduced harmonic Maass–Jacobi forms. The space of such forms includes the cl...