3 papers
math.NT2017
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…
math.NT2016
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…
math.NT2015
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…