Bykovskii's theorem and generalized Larcher's theorem

TL;DR

This paper generalizes Larcher's theorem on good lattice points, expanding the theoretical understanding of lattice point distributions.

Contribution

It introduces a broader version of Larcher's theorem, extending its applicability to more general lattice point scenarios.

Findings

Proves a generalized version of Larcher's theorem

Enhances theoretical framework for lattice points

Provides new insights into lattice point distribution

Abstract

In this paper we prove a generalization of famous Larchr's theorem concerning good lattice points.