Add to ORKGAbstract. We investigate the action of the heat operator on Jacobi forms. In particular, we present two explicit characterizations of this action on Jacobi forms of index 1. Furthermore, we study congruences and filtrations of Jacobi forms. As an application, we determine when an analog of Atkin’s U-operator applied to a Jacobi form is nonzero modulo a prime. 1
The heat kernel associated with the setting of the classical Jacobi polynomials isdefined by an osci...
We affirmatively answer a question due to S. Bocherer concerning the feasibility of removing one dif...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
Abstract. We consider congruences and filtrations of Jacobi forms. More specifically, we extend Tate...
In this thesis, we introduce a new space of Hermitian Jacobi forms, and we determine its structure. ...
We employ recent results on Jacobi forms to investigate congruences and filtrations of Siegel modula...
We consider a differential operator DX λ associated to an integer λ acting on the space of for-mal p...
AbstractWe compute the action of Hecke operators TjJ(p2) on Jacobi forms of “Siegel degree” n and m×...
Jacobi forms arise naturally in number theory in several ways: theta series arise as functions of la...
We extend the usual notion of Petersson inner product on the space of cuspidal Jacobi forms to inclu...
We use the relationship between Jacobi forms and vector-valued modular forms to study the Fourier ex...
Let M\sb2k-2(m) be the space of holomorphic modular forms of weight 2k-2 on Γ\sb 0(m) and let J\sbk,...
Abstract. In recent work we computed, for any totally real number field K with ring ofintegers o, th...
Using the relationship between Jacobi forms of half-integral weight and vector valued modular forms,...
The theory of Jacobi forms was created in 80's of the last century by Eichler and Zagier.This theory...
The heat kernel associated with the setting of the classical Jacobi polynomials isdefined by an osci...
We affirmatively answer a question due to S. Bocherer concerning the feasibility of removing one dif...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
Abstract. We consider congruences and filtrations of Jacobi forms. More specifically, we extend Tate...
In this thesis, we introduce a new space of Hermitian Jacobi forms, and we determine its structure. ...
We employ recent results on Jacobi forms to investigate congruences and filtrations of Siegel modula...
We consider a differential operator DX λ associated to an integer λ acting on the space of for-mal p...
AbstractWe compute the action of Hecke operators TjJ(p2) on Jacobi forms of “Siegel degree” n and m×...
Jacobi forms arise naturally in number theory in several ways: theta series arise as functions of la...
We extend the usual notion of Petersson inner product on the space of cuspidal Jacobi forms to inclu...
We use the relationship between Jacobi forms and vector-valued modular forms to study the Fourier ex...
Let M\sb2k-2(m) be the space of holomorphic modular forms of weight 2k-2 on Γ\sb 0(m) and let J\sbk,...
Abstract. In recent work we computed, for any totally real number field K with ring ofintegers o, th...
Using the relationship between Jacobi forms of half-integral weight and vector valued modular forms,...
The theory of Jacobi forms was created in 80's of the last century by Eichler and Zagier.This theory...
The heat kernel associated with the setting of the classical Jacobi polynomials isdefined by an osci...
We affirmatively answer a question due to S. Bocherer concerning the feasibility of removing one dif...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...