5 papers · 1 filter
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…
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…
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…
Explicit construction of Ramanujan bigraphs
Cristina Ballantine, Brooke Feigon, Radhika Ganapathy +3
We construct explicitly an infinite family of Ramanujan graphs which are bipartite and biregular. Our construction starts with the Bruhat-Tits building of an inner form of $SU_3(\m…