Published paper

Successive Minima and Lattice Points

Martin Henk

Publication metadata

Journal citation: Rendiconti del Circolo Matematico di Palermo, Serie II, Supplemento, 377–384 (2002)
Publication date: 2002
arXiv counterpart: arXiv:math/0204158v1

Proof-critical source

This paper is included only for the following marked statements:

Lemma 2.1 · arXiv:math/0204158v1, PDF pp. 4–5Compares the count in a convex body with the count in twice the body on a finite-index sublattice.
Theorem 1.5 · arXiv:math/0204158v1, statement PDF p. 3; proof PDF pp. 4–6Upper bound for lattice points in terms of all successive minima.
Theorem 1.3 · arXiv:math/0204158v1, statement PDF p. 2; proof Section 3Minkowski's second theorem, used to compare covolume with the product of successive minima in a subspace.

Proof-critical source

This paper is included only for the following marked statement:

Lemma 2.1 and Theorem 1.5 · arXiv:math/0204158v1, §§1–2Supply the fixed-dilation comparison and the successive-minima upper lattice-count product used in companion-paper Lemma 5.1.

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