On a lattice point problem of L. Moser. I

József Beck

doi:10.1007/BF02122550

On a lattice point problem of L. Moser. I

József Beck

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We prove the following conjecture of L. Moser: Any convex region of area n can be placed so as to cover ≧n+f(n) lattice points, where f(n)→∞.

Original language	English (US)
Pages (from-to)	21-47
Number of pages	27
Journal	Combinatorica
Volume	8
Issue number	1
DOIs	https://doi.org/10.1007/BF02122550
State	Published - Mar 1988
Externally published	Yes

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Computational Mathematics

Keywords

AMS subject classification: 10J25, 10K30

Access to Document

10.1007/BF02122550

Cite this

@article{d0bc5fc3566d4785b74a13a1c1ab80c0,

title = "On a lattice point problem of L. Moser. I",

abstract = "We prove the following conjecture of L. Moser: Any convex region of area n can be placed so as to cover ≧n+f(n) lattice points, where f(n)→∞.",

keywords = "AMS subject classification: 10J25, 10K30",

author = "J{\'o}zsef Beck",

year = "1988",

month = mar,

doi = "10.1007/BF02122550",

language = "English (US)",

volume = "8",

pages = "21--47",

journal = "Combinatorica",

issn = "0209-9683",

publisher = "Janos Bolyai Mathematical Society",

number = "1",

}

TY - JOUR

T1 - On a lattice point problem of L. Moser. I

AU - Beck, József

PY - 1988/3

Y1 - 1988/3

N2 - We prove the following conjecture of L. Moser: Any convex region of area n can be placed so as to cover ≧n+f(n) lattice points, where f(n)→∞.

AB - We prove the following conjecture of L. Moser: Any convex region of area n can be placed so as to cover ≧n+f(n) lattice points, where f(n)→∞.

KW - AMS subject classification: 10J25, 10K30

UR - https://www.scopus.com/pages/publications/34250094074

UR - https://www.scopus.com/pages/publications/34250094074#tab=citedBy

U2 - 10.1007/BF02122550

DO - 10.1007/BF02122550

M3 - Article

AN - SCOPUS:34250094074

SN - 0209-9683

VL - 8

SP - 21

EP - 47

JO - Combinatorica

JF - Combinatorica

IS - 1

ER -

On a lattice point problem of L. Moser. I

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this