19 citations · 24 across the 5 of their papers we have counts for
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Automorphic Forms on Feit's Hermitian Lattices
Neil Dummigan, Sebastian Schönnenbeck
We consider the genus of classes of unimodular Hermitian lattices of rank over the Eisenstein integers. This set is the domain for a certain space of algebraic modular fo…
Computing -unit groups of orders
Sebastian Schönnenbeck
Based on the general strategy described by Borel and Serre and the Voronoi algorithm for computing unit groups of orders we present an algorithm for finding presentations of -un…
Simultaneous computation of Hecke operators
Sebastian Schönnenbeck
We present a method to compute two Hecke operators acting on a space of algebraic modular forms simultaneously based on an idea of Eichler's. We show that in certain cases this met…
Computing in arithmetic groups with Voronoi's algorithm
Oliver Braun, Renaud Coulangeon, Gabriele Nebe +1
We describe an algorithm, meant to be very general, to compute a presentation of the group of units of an order in a (semi)simple algebra over Q. Our method is based on a generalis…