Add to ORKGAbstract. We consider congruences and filtrations of Jacobi forms. More specifically, we extend Tate’s theory of theta cycles to Jacobi forms, which allows us to prove a criterion for an analog of Atkin’s U-operator applied to a Jacobi form to be nonzero modulo a prime
Let p > 5 be a prime. We prove congruences modulo p(3-d) for sums of the general form Sigma((p -3)/2...
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,...
We prove modularity of formal series of Jacobi forms that satisfy a natural symmetry condition. They...
We employ recent results on Jacobi forms to investigate congruences and filtrations of Siegel modula...
Abstract. We investigate the action of the heat operator on Jacobi forms. In particular, we present ...
In this thesis, we introduce a new space of Hermitian Jacobi forms, and we determine its structure. ...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
Along with explaining the Saito-Kurokawa lift, Eichler and Zagier's book gives the main structural t...
In this article, the author gives some of his results on Jacobi forms of higher degree without proof...
The theory of Jacobi forms was created in 80's of the last century by Eichler and Zagier.This theory...
We determine the ring structure of Siegel modular forms of degree gg modulo a prime pp, extending Na...
La théorie des formes modulaires de Siegel fournit de nombreuses applications en arithmétique, en gé...
We use Jacobi theta functions to construct examples of Jacobi forms over number fields. We determine...
We show that Hida theory extends to p-adic families of Jacobi forms, including Λ-adic theta lifts of...
We define Jacobi forms with complex multiplication. Analogous to modular forms with complex multipli...
Let p > 5 be a prime. We prove congruences modulo p(3-d) for sums of the general form Sigma((p -3)/2...
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,...
We prove modularity of formal series of Jacobi forms that satisfy a natural symmetry condition. They...
We employ recent results on Jacobi forms to investigate congruences and filtrations of Siegel modula...
Abstract. We investigate the action of the heat operator on Jacobi forms. In particular, we present ...
In this thesis, we introduce a new space of Hermitian Jacobi forms, and we determine its structure. ...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
Along with explaining the Saito-Kurokawa lift, Eichler and Zagier's book gives the main structural t...
In this article, the author gives some of his results on Jacobi forms of higher degree without proof...
The theory of Jacobi forms was created in 80's of the last century by Eichler and Zagier.This theory...
We determine the ring structure of Siegel modular forms of degree gg modulo a prime pp, extending Na...
La théorie des formes modulaires de Siegel fournit de nombreuses applications en arithmétique, en gé...
We use Jacobi theta functions to construct examples of Jacobi forms over number fields. We determine...
We show that Hida theory extends to p-adic families of Jacobi forms, including Λ-adic theta lifts of...
We define Jacobi forms with complex multiplication. Analogous to modular forms with complex multipli...
Let p > 5 be a prime. We prove congruences modulo p(3-d) for sums of the general form Sigma((p -3)/2...
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,...
We prove modularity of formal series of Jacobi forms that satisfy a natural symmetry condition. They...