In the first part of the thesis a statement of Böcherer and Kohnen (2016) about the growth of Fourier coefficients of cusp forms and non-cusp forms is transferred from Siegel modular forms to Hermitian modular forms and orthogonal modular forms. The second part of the thesis constructs the exceptional isomorphism between the symplectic group with respect to Hamiltonian quaternions and the orthogonal group SO(2,6). A method is given to calculate it explicitly. The third and last part deals with Hermitian Maaß-forms of degree 2. In the first half, possible algebraic dependencies between Hermitian Eisenstein series to arbitrary discriminant are investigated using the Fourier expansion. In the second half, a construction of Hermitian measure fo...
In the theory of modular forms it is desired to be able to validate the linear independance of modul...
We characterize Siegel cusp forms in the space of Siegel modular forms of small weight on the congru...
We define canonical real analytic versions of modular forms of integral weight for the full modular ...
We prove that Hermitian cusp forms of weight k for the Hermitian modular group of degree 2 are deter...
We prove that Hermitian cusp forms of weight k for the Hermitian modular group of degree 2 are deter...
We prove that Hermitian cusp forms of weight k for the Hermitian modular group of degree 2 are deter...
We prove that Hermitian cusp forms of weight k for the Hermitian modular group of degree 2 are deter...
Resnikoff [12] proved that weights of a non trivial singular modular form should be integral multipl...
We prove that Hermitian cusp forms of weight k for the Hermitian modular group of degree 2 are deter...
In this doctoral thesis, we find that for $n=2$, the Hermitian modular group and other subgroups of ...
Artículo de publicación ISISin acceso a texto completoWe characterize all cusp forms among the degre...
Artículo de publicación ISISin acceso a texto completoWe characterize all cusp forms among the degre...
In this doctoral thesis, we find that for $n=2$, the Hermitian modular group and other subgroups of ...
We define canonical real analytic versions of modular forms of integral weight for the full modular ...
We consider the Hermitian Eisenstein series $E^{(\mathbb{K})}_k$ of degree $2$ and weight $k$ associ...
In the theory of modular forms it is desired to be able to validate the linear independance of modul...
We characterize Siegel cusp forms in the space of Siegel modular forms of small weight on the congru...
We define canonical real analytic versions of modular forms of integral weight for the full modular ...
We prove that Hermitian cusp forms of weight k for the Hermitian modular group of degree 2 are deter...
We prove that Hermitian cusp forms of weight k for the Hermitian modular group of degree 2 are deter...
We prove that Hermitian cusp forms of weight k for the Hermitian modular group of degree 2 are deter...
We prove that Hermitian cusp forms of weight k for the Hermitian modular group of degree 2 are deter...
Resnikoff [12] proved that weights of a non trivial singular modular form should be integral multipl...
We prove that Hermitian cusp forms of weight k for the Hermitian modular group of degree 2 are deter...
In this doctoral thesis, we find that for $n=2$, the Hermitian modular group and other subgroups of ...
Artículo de publicación ISISin acceso a texto completoWe characterize all cusp forms among the degre...
Artículo de publicación ISISin acceso a texto completoWe characterize all cusp forms among the degre...
In this doctoral thesis, we find that for $n=2$, the Hermitian modular group and other subgroups of ...
We define canonical real analytic versions of modular forms of integral weight for the full modular ...
We consider the Hermitian Eisenstein series $E^{(\mathbb{K})}_k$ of degree $2$ and weight $k$ associ...
In the theory of modular forms it is desired to be able to validate the linear independance of modul...
We characterize Siegel cusp forms in the space of Siegel modular forms of small weight on the congru...
We define canonical real analytic versions of modular forms of integral weight for the full modular ...