A remark on Hofmann and Wolke's additive decompositions of the set of primes

Christian Elsholtz

doi:10.1007/s000130050538

A remark on Hofmann and Wolke's additive decompositions of the set of primes

Christian Elsholtz^*

^*Corresponding author for this work

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

Abstract

We improve upon Hofmann and Wolke's bounds on the conceivable additive decompositions of the set of primes. We also prove that there cannot be a decomposition, where one set is a shifted copy of the other. This answers an open question of Hofmann and Wolke.

Original language	English
Pages (from-to)	30-33
Number of pages	4
Journal	Archiv der Mathematik
Volume	76
Issue number	1
DOIs	https://doi.org/10.1007/s000130050538
Publication status	Published - 3 Jan 2001

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/s000130050538

Cite this

@article{6861d81d9e624864ba461f92431cea57,

title = "A remark on Hofmann and Wolke's additive decompositions of the set of primes",

abstract = "We improve upon Hofmann and Wolke's bounds on the conceivable additive decompositions of the set of primes. We also prove that there cannot be a decomposition, where one set is a shifted copy of the other. This answers an open question of Hofmann and Wolke.",

author = "Christian Elsholtz",

year = "2001",

month = jan,

day = "3",

doi = "10.1007/s000130050538",

language = "English",

volume = "76",

pages = "30--33",

journal = "Archiv der Mathematik",

issn = "0003-889X",

publisher = "Springer International Publishing AG ",

number = "1",

}

TY - JOUR

T1 - A remark on Hofmann and Wolke's additive decompositions of the set of primes

AU - Elsholtz, Christian

PY - 2001/1/3

Y1 - 2001/1/3

N2 - We improve upon Hofmann and Wolke's bounds on the conceivable additive decompositions of the set of primes. We also prove that there cannot be a decomposition, where one set is a shifted copy of the other. This answers an open question of Hofmann and Wolke.

AB - We improve upon Hofmann and Wolke's bounds on the conceivable additive decompositions of the set of primes. We also prove that there cannot be a decomposition, where one set is a shifted copy of the other. This answers an open question of Hofmann and Wolke.

UR - http://www.scopus.com/inward/record.url?scp=0035530675&partnerID=8YFLogxK

U2 - 10.1007/s000130050538

DO - 10.1007/s000130050538

M3 - Article

AN - SCOPUS:0035530675

SN - 0003-889X

VL - 76

SP - 30

EP - 33

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 1

ER -

A remark on Hofmann and Wolke's additive decompositions of the set of primes

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this