O minimu forem kvadratických
Odd unimodular lattices of minimum 4
On a problem posed by R. Salvati Manni
On a quantitative version of the Oppenheim conjecture.
On an analog of Hermite's constant.
On C-Minimal Forms.
On Siegel's Lemma.
On ternary cubic forms.
On the gaps of the Lagrange spectrum
On the Gaussian Markoff spectrum.
On the Lower Markov Spectrum.
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...