On the representation of integers as sums of triangular numbers.
On the section of a lattice–covering of balls
On the S-Euclidean minimum of an ideal class
We show that the S-Euclidean minimum of an ideal class is a rational number, generalizing a result of Cerri. In the proof, we actually obtain a slight refinement of this and give some corollaries which explain the relationship of our results with Lenstra's notion of a norm-Euclidean ideal class and the conjecture of Barnes and Swinnerton-Dyer on quadratic forms. In particular, we resolve a conjecture of Lenstra except when the S-units have rank one. The proof is self-contained but uses ideas from...
On theta series vanishing at ∞ and related lattices
One-class genera of positive quaternary quadratic forms
Orbits in the Leech lattice.
Orthogonal systems in vector spaces over finite fields.