64 citations · 449 across the 29 of their papers we have counts for
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On the cohomology of linear groups over imaginary quadratic fields
Herbert Gangl, Paul E. Gunnells, Jonathan Hanke +3
Let Gamma be the group GL_N (OO_D), where OO_D is the ring of integers in the imaginary quadratic field with discriminant D<0. In this paper we investigate the cohomology of Gamma…
Formal duality and generalizations of the Poisson summation formula
Henry Cohn, Abhinav Kumar, Christian Reiher +1
We study the notion of formal duality introduced by Cohn, Kumar, and Schürmann in their computational study of energy-minimizing particle configurations in Euclidean space. In part…
Bases of minimal vectors in lattices, III
Jacques Martinet, Achill Schürmann
We prove that all Euclidean lattices of dimension which are generated by their minimal vectors, also possess a basis of minimal vectors. By providing a new counterexample,…
Bounds on generalized Frobenius numbers
Lenny Fukshansky, Achill Schürmann
Let and let be relatively prime integers. The Frobenius number of this -tuple is defined to be the largest positive integer that has no represen…
Inhomogeneous extreme forms
Mathieu Dutour Sikiric, Achill Schuermann, Frank Vallentin
G.F. Voronoi (1868-1908) wrote two memoirs in which he describes two reduction theories for lattices, well-suited for sphere packing and covering problems. In his first memoir a ch…
On classifying Minkowskian sublattices
Wolfgang Keller, Jacques Martinet, Achill Schürmann
Let be a lattice in an -dimensional Euclidean space and let be a Minkowskian sublattice of , that is, a sublattice having a basis made of representatives for the…