A remark on Fermat's last theorem
Identifieur interne : 000380 ( Main/Exploration ); précédent : 000379; suivant : 000381A remark on Fermat's last theorem
Auteurs : A. V. TolstikovSource :
- Journal of Soviet Mathematics [ 0090-4104 ] ; 1981-05-01.
English descriptors
- Teeft :
Abstract
Abstract: It is proved that the equation xp + yp + Zp=Q, (xyz, p)=1 has no solutions in rational integers x, y, z for all odd prime numbers p for which q=pk + 1 is a prime number, k ⩽ 82, k ≠ 0 (mod 3).
Url:
DOI: 10.1007/BF01213901
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 000030
- to stream Istex, to step Curation: 000030
- to stream Istex, to step Checkpoint: 000363
- to stream Main, to step Merge: 000383
- to stream Main, to step Curation: 000380
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">A remark on Fermat's last theorem</title>
<author><name sortKey="Tolstikov, A V" sort="Tolstikov, A V" uniqKey="Tolstikov A" first="A. V." last="Tolstikov">A. V. Tolstikov</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:2D30E12E3E4654ACA59CEAEA324C7C0E04B69A27</idno>
<date when="1981" year="1981">1981</date>
<idno type="doi">10.1007/BF01213901</idno>
<idno type="url">https://api.istex.fr/document/2D30E12E3E4654ACA59CEAEA324C7C0E04B69A27/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">000030</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000030</idno>
<idno type="wicri:Area/Istex/Curation">000030</idno>
<idno type="wicri:Area/Istex/Checkpoint">000363</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000363</idno>
<idno type="wicri:doubleKey">0090-4104:1981:Tolstikov A:a:remark:on</idno>
<idno type="wicri:Area/Main/Merge">000383</idno>
<idno type="wicri:Area/Main/Curation">000380</idno>
<idno type="wicri:Area/Main/Exploration">000380</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">A remark on Fermat's last theorem</title>
<author><name sortKey="Tolstikov, A V" sort="Tolstikov, A V" uniqKey="Tolstikov A" first="A. V." last="Tolstikov">A. V. Tolstikov</name>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Journal of Soviet Mathematics</title>
<title level="j" type="abbrev">J Math Sci</title>
<idno type="ISSN">0090-4104</idno>
<idno type="eISSN">1573-8795</idno>
<imprint><publisher>Kluwer Academic Publishers-Plenum Publishers</publisher>
<pubPlace>New York</pubPlace>
<date type="published" when="1981-05-01">1981-05-01</date>
<biblScope unit="volume">16</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="912">912</biblScope>
<biblScope unit="page" to="913">913</biblScope>
</imprint>
<idno type="ISSN">0090-4104</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0090-4104</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass><keywords scheme="Teeft" xml:lang="en"><term>First case</term>
<term>Khazanov</term>
<term>Rational integers</term>
</keywords>
</textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Abstract: It is proved that the equation xp + yp + Zp=Q, (xyz, p)=1 has no solutions in rational integers x, y, z for all odd prime numbers p for which q=pk + 1 is a prime number, k ⩽ 82, k ≠ 0 (mod 3).</div>
</front>
</TEI>
<affiliations><list></list>
<tree><noCountry><name sortKey="Tolstikov, A V" sort="Tolstikov, A V" uniqKey="Tolstikov A" first="A. V." last="Tolstikov">A. V. Tolstikov</name>
</noCountry>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/SophieGermainV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000380 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000380 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Mathematiques |area= SophieGermainV1 |flux= Main |étape= Exploration |type= RBID |clé= ISTEX:2D30E12E3E4654ACA59CEAEA324C7C0E04B69A27 |texte= A remark on Fermat's last theorem }}
![]() | This area was generated with Dilib version V0.6.33. | ![]() |