4 citations · 14 across the 10 of their papers we have counts for
10 papers
On Three-Term Linear Relations for Theta Series of Positive-Definite Binary Quadratic Forms
Rahul Saha, Jonathan Hanke
In this paper, we investigate three-term linear relations among theta series of positive-definite integral binary quadratic forms. We extend Schiemann's methods to characterize all…
The mean number of 2-torsion elements in the class groups of -monogenized cubic fields
Manjul Bhargava, Jonathan Hanke, Arul Shankar
We prove that, on average, the monogenicity or -monogenicity of a cubic field has an altering effect on the behavior of the 2-torsion in its class group.
On the toplogical computation of K4 of the Gaussian and Eisenstein integers
Mathieu Dutour Sikiric, Herbert Gangl, Paul E. Gunnells +3
In this paper we use topological tools to investigate the structure of the algebraic K-groups K_4 (Z[i]) and K_4 (Z[rho]), where i := sqrt{-1} and rho := (1+sqrt{-3})/2. We exploit…
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…
Algorithms for computing maximal lattices in bilinear (and quadratic) spaces over number fields
Jonathan Hanke
In this paper we describe an algorithm that quickly computes a maximal a-valued lattice in an F-vector space equipped with a non-degenerate bilinear form, where a is a fractional i…
Enumerating maximal definite quadratic forms of bounded class number over Z in n >= 3 variables
Jonathan Hanke
In this paper we give an algorithm for enumerating all primitive (positive) definite maximal Z-valued quadratic forms Q in n >= 3 variables with bounded class number h(Q) <= B. We…