On a lattice point problem of L. Moser. II
type: Item
instance of: scholarly article
title: On a lattice point problem of L. Moser. II
zbMATH Open document ID: 0661.10061
DOI: 10.1007/BF02122797
author: József Beck
published in: Combinatorica
publication date: 1988-01-01T00:00:00Z
review text: This paper completes the proof of a remarkable result confirming a conjecture of L. Moser: There exists a universal function f(x), tending to \(\infty\), as \(x\to \infty\), such that any convex region in the plane with area x can be placed so as to cover at least \(x+f(x)\) points of the integer lattice. As announced in part I [ibid. 8, No.1, 21-47 (1988; Zbl 0653.10044)], the present paper contains the proof of an auxiliary lemma concerning estimates of a certain mean value of chord lengths of a convex region.
Mathematics Subject Classification ID: 11P21
Mathematics Subject Classification ID: 11K38
Mathematics Subject Classification ID: 11H06
zbMATH DE Number: 4079557
zbMATH Keywords: lattice points in convex regions
zbMATH Keywords: mean value of chord lengths
reviewed by: Gerhard Ramharter
MaRDI profile type: Publication
cites work: On a lattice point problem of L. Moser. I
cites work: Q5824053
cites work: On Blaschke's rolling theorems
description: scientific article; zbMATH DE number 4079557