Bounds for solutions of systems of linear equations

Jeffrey D. Vaaler; A. J. Van Der Poorten

doi:10.1017/S0004972700005104

Bounds for solutions of systems of linear equations

Jeffrey D. Vaaler, A. J. Van Der Poorten

Macquarie University Administration Unit

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

5 Citations (Scopus)

Abstract

We apply recent results of Vaaler that simultaneously bound linear forms so as to obtain a ‘Siegel lemma’, sharper than those that have appeared in the literature, and in a shape convenient for application in transcendence theory.

Original language	English
Pages (from-to)	125-132
Number of pages	8
Journal	Bulletin of the Australian Mathematical Society
Volume	25
Issue number	1
DOIs	https://doi.org/10.1017/S0004972700005104
Publication status	Published - 1982

Access to Document

10.1017/S0004972700005104

Cite this

@article{eabe1262997f4c5c98a9e886e5f7eee3,

title = "Bounds for solutions of systems of linear equations",

abstract = "We apply recent results of Vaaler that simultaneously bound linear forms so as to obtain a {\textquoteleft}Siegel lemma{\textquoteright}, sharper than those that have appeared in the literature, and in a shape convenient for application in transcendence theory.",

author = "Vaaler, {Jeffrey D.} and {Van Der Poorten}, {A. J.}",

year = "1982",

doi = "10.1017/S0004972700005104",

language = "English",

volume = "25",

pages = "125--132",

journal = "Bulletin of the Australian Mathematical Society",

issn = "0004-9727",

publisher = "Cambridge University Press (CUP)",

number = "1",

}

TY - JOUR

T1 - Bounds for solutions of systems of linear equations

AU - Vaaler, Jeffrey D.

AU - Van Der Poorten, A. J.

PY - 1982

Y1 - 1982

N2 - We apply recent results of Vaaler that simultaneously bound linear forms so as to obtain a ‘Siegel lemma’, sharper than those that have appeared in the literature, and in a shape convenient for application in transcendence theory.

AB - We apply recent results of Vaaler that simultaneously bound linear forms so as to obtain a ‘Siegel lemma’, sharper than those that have appeared in the literature, and in a shape convenient for application in transcendence theory.

UR - http://www.scopus.com/inward/record.url?scp=84973950218&partnerID=8YFLogxK

U2 - 10.1017/S0004972700005104

DO - 10.1017/S0004972700005104

M3 - Article

AN - SCOPUS:84973950218

SN - 0004-9727

VL - 25

SP - 125

EP - 132

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 1

ER -

Bounds for solutions of systems of linear equations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this