Computing septic number fields

Eric D. Driver; John Jones

doi:10.1016/j.jnt.2019.02.022

Computing septic number fields

Eric D. Driver, John Jones

Mathematical and Statistical Sciences, School of (SMSS)

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

1 Scopus citations

Abstract

We determine all degree 7 number fields where the absolute value of the discriminant is ≤2⋅10 ⁸ . To accomplish this large-scale computation, we distributed the computation over many servers on the internet through the BOINC network.

Original language	English (US)
Journal	Journal of Number Theory
DOIs	https://doi.org/10.1016/j.jnt.2019.02.022
State	Published - Jan 1 2019

Keywords

Discriminant
Number field

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jnt.2019.02.022

Cite this

@article{44a4709ab38544aba699ef0f7f78164e,

title = "Computing septic number fields",

abstract = " We determine all degree 7 number fields where the absolute value of the discriminant is ≤2⋅10 8 . To accomplish this large-scale computation, we distributed the computation over many servers on the internet through the BOINC network. ",

keywords = "Discriminant, Number field",

author = "Driver, {Eric D.} and John Jones",

year = "2019",

month = jan,

day = "1",

doi = "10.1016/j.jnt.2019.02.022",

language = "English (US)",

journal = "Journal of Number Theory",

issn = "0022-314X",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Computing septic number fields

AU - Driver, Eric D.

AU - Jones, John

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We determine all degree 7 number fields where the absolute value of the discriminant is ≤2⋅10 8 . To accomplish this large-scale computation, we distributed the computation over many servers on the internet through the BOINC network.

AB - We determine all degree 7 number fields where the absolute value of the discriminant is ≤2⋅10 8 . To accomplish this large-scale computation, we distributed the computation over many servers on the internet through the BOINC network.

KW - Discriminant

KW - Number field

UR - http://www.scopus.com/inward/record.url?scp=85063870432&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85063870432&partnerID=8YFLogxK

U2 - 10.1016/j.jnt.2019.02.022

DO - 10.1016/j.jnt.2019.02.022

M3 - Article

AN - SCOPUS:85063870432

JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

ER -

Computing septic number fields

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this