3 citations · 3 across the 6 of their papers we have counts for
10 papers
Construction of Poincaré-type series by generating kernels
Yasemin Kara, Moni Kumari, Jolanta Marzec +3
Let be a Fuchsian group of the first kind having a fundamental domain with a finite hyperbolic area, and let be its cover in $\…
Sturm's operator acting on vector valued -types
Kathrin Maurischat
We define Sturm's operator on vector valued Siegel modular forms obtaining an explicit description of their holomorphic projection in case of large absolute weight. However, for sm…
Eulerian summation operators and a remarkable family of polynomials
Kathrin Maurischat, Rainer Weissauer
We give several families of polynomials which are related by Eulerian summation operators. They satisfy interesting combinatorial properties like being integer-valued at integral p…
On unitary groups associated to division algebras of degree three
Kathrin Maurischat
We show that the special unitary group associated to an involution of the second kind on a central division algebra of degree three does not contain hermitian or skew-hermitian ele…
Sturm's operator for scalar weight in arbitrary genus
Kathrin Maurischat
In contrast to the wellknown cases of large weights, Sturm's operator does not realize the holomorphic projection operator for lower weights. We prove its failure for arbitrary Sie…
Phantom holomorphic projections arising from Sturm's formula
Kathrin Maurischat, Rainer Weissauer
We show the analytic continuation of certain Siegel Poincaré series to their critical point for weight three in genus two. We proof that this continuation posesses a nonhomomorphic…