Critical lattices, elliptic curves and their possible dynamics

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We present a combinatorial geometry and dynamical systems framework for the investigation and proof of the Minkowski conjecture about critical determinant of the region $ |x|^p + |y|^p < 1, p > 1. $ The application of the framework may drastically reduce the investigation of sufficiently smooth real functions of many variables. Incidentally, we establish connections between critical lattices, dynamical systems and elliptic curves.
7 pages, Latex

Keywords

Number Theory, Dynamical Systems, 11H; 37

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/69975

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401358
 http://arxiv.org/abs/math/0401358

Collections

arXiv