Serveur d'exploration sur la recherche en informatique en Lorraine

Attention, ce site est en cours de développement !
Attention, site généré par des moyens informatiques à partir de corpus bruts.
Les informations ne sont donc pas validées.

On Sums of Seven Cubes

Identifieur interne : 002685 ( Crin/Curation ); précédent : 002684; suivant : 002686

On Sums of Seven Cubes

Auteurs : François Bertault ; Olivier Ramaré ; Paul Zimmermann

Source :

RBID : CRIN:bertault99a

English descriptors

Abstract

We show that every integer between 1290741 and 3.375\,10^{12} is a sum of 5 non negative cubes from which we deduce that every integer which is a cubic residue modulo 9 and an invertible cubic residue modulo 37 is a sum of 7 non negative cubes.

Links toward previous steps (curation, corpus...)


Links to Exploration step

CRIN:bertault99a

Le document en format XML

<record>
<TEI>
<teiHeader>
<fileDesc>
<titleStmt>
<title xml:lang="fr" wicri:score="-38">On Sums of Seven Cubes</title>
</titleStmt>
<publicationStmt>
<idno type="RBID">CRIN:bertault99a</idno>
<date when="1999" year="1999">1999</date>
<idno type="wicri:Area/Crin/Corpus">002685</idno>
<idno type="wicri:Area/Crin/Curation">002685</idno>
<idno type="wicri:explorRef" wicri:stream="Crin" wicri:step="Curation">002685</idno>
</publicationStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title xml:lang="fr">On Sums of Seven Cubes</title>
<author>
<name sortKey="Bertault, Francois" sort="Bertault, Francois" uniqKey="Bertault F" first="François" last="Bertault">François Bertault</name>
</author>
<author>
<name sortKey="Ramare, Olivier" sort="Ramare, Olivier" uniqKey="Ramare O" first="Olivier" last="Ramaré">Olivier Ramaré</name>
</author>
<author>
<name sortKey="Zimmermann, Paul" sort="Zimmermann, Paul" uniqKey="Zimmermann P" first="Paul" last="Zimmermann">Paul Zimmermann</name>
</author>
</analytic>
<series>
<title level="j">Mathematics of Computation</title>
<imprint>
<date when="1999" type="published">1999</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc>
<textClass>
<keywords scheme="KwdEn" xml:lang="en">
<term>computational number theory</term>
<term>waring's problem for cubes</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en" wicri:score="341">We show that every integer between 1290741 and 3.375\,10^{12} is a sum of 5 non negative cubes from which we deduce that every integer which is a cubic residue modulo 9 and an invertible cubic residue modulo 37 is a sum of 7 non negative cubes.</div>
</front>
</TEI>
<BibTex type="article">
<ref>bertault99a</ref>
<crinnumber>99-R-193</crinnumber>
<category>1</category>
<equipe>POLKA</equipe>
<author>
<e>Bertault, François</e>
<e>Ramaré, Olivier</e>
<e>Zimmermann, Paul</e>
</author>
<title>On Sums of Seven Cubes</title>
<journal>Mathematics of Computation</journal>
<year>1999</year>
<volume>68</volume>
<number>227</number>
<pages>1303-1310</pages>
<month>Jul</month>
<keywords>
<e>waring's problem for cubes</e>
<e>computational number theory</e>
</keywords>
<abstract>We show that every integer between 1290741 and 3.375\,10^{12} is a sum of 5 non negative cubes from which we deduce that every integer which is a cubic residue modulo 9 and an invertible cubic residue modulo 37 is a sum of 7 non negative cubes.</abstract>
</BibTex>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Crin/Curation
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 002685 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Crin/Curation/biblio.hfd -nk 002685 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Lorraine
   |area=    InforLorV4
   |flux=    Crin
   |étape=   Curation
   |type=    RBID
   |clé=     CRIN:bertault99a
   |texte=   On Sums of Seven Cubes
}}

Wicri

This area was generated with Dilib version V0.6.33.
Data generation: Mon Jun 10 21:56:28 2019. Site generation: Fri Feb 25 15:29:27 2022