An upper bound on the number of perfect quadratic forms

DOI10.1016/j.aim.2020.107031zbMath1444.11150arXiv1901.04807OpenAlexW2909269497MaRDI QIDQ2308288

Wessel P. J. van Woerden

Publication date: 2 April 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04807

zbMATH Keywords

perfect quadratic formequivalent quadratic formsminimum of positive definite quadratic formVoronoi' first reduction theory

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Minima of forms (11H50)

Cites Work

• Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice
• Complete enumeration of classes of perfect septenary forms
• New bounds in some transference theorems in the geometry of numbers
• The complete enumeration of extreme senary forms
• Extreme lattices: symmetries and decorrelation
• Classification of eight-dimensional perfect forms
• Perfect forms and the Vandiver conjecture
• On the number of perfect lattices

This page was built for publication: An upper bound on the number of perfect quadratic forms