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

CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)

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

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

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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. ",

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