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 (SoMSS)

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

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10.1016/j.jnt.2019.02.022

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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",

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

language = "English (US)",

journal = "Journal of Number Theory",

issn = "0022-314X",

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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

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SN - 0022-314X

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

Computing septic number fields

Abstract

Keywords

ASJC Scopus subject areas

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