Minkowski's Lattice Point Theorem [article]

Sourangshu Ghosh
2020 arXiv   pre-print
This paper formulates the elegant theorem on the existence of a nonzero lattice point in any convex symmetric body of sufficiently large volume proved by Minkowski. This result started the journey of a different and extraordinarily beautiful branch of number theory known as the Geometry of Numbers. This theorem provides a constraint on the volume of a centrally symmetrical convex body in Euclidean n dimensional space to contain at least one lattice point except for the trivial point 0. In this
more » ... aper we also derive applications of this theorem in proving important theorems in number theory.
arXiv:2010.00245v1 fatcat:vhvqw3unkrdsbplkxjf3ug26ly