2 citations · 2 across the 3 of their papers we have counts for
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math.NT2015
Missing class groups and class number statistics for imaginary quadratic fields
Samuel Holmin, Nathan Jones, Pär Kurlberg +2
The number F(h) of imaginary quadratic fields with a given class number h is of classical interest: Gauss' class number problem asks for a determination of those fields counted by…
math.NT2013★ 2 cited
The number of points from a random lattice that lie inside a ball
Samuel Holmin
We prove a sharp bound for the remainder term of the number of lattice points inside a ball, when averaging over a compact set of (not necessarily unimodular) lattices, in dimensio…
math.NT2012
Counting nonsingular matrices with primitive row vectors
Samuel Holmin
We give an asymptotic expression for the number of nonsingular integer n-by-n-matrices with primitive row vectors, determinant k, and Euclidean matrix norm less than T, for large T…