Error analysis for an arbitrary precision in computing zeta(s) with the Cohen-Olivier algorithm : complete description of the real case and preliminary report on the general case
Identifieur interne : 008B46 ( Main/Exploration ); précédent : 008B45; suivant : 008B47Error analysis for an arbitrary precision in computing zeta(s) with the Cohen-Olivier algorithm : complete description of the real case and preliminary report on the general case
Auteurs : Yves Pétermann [France] ; Jean-Luc Rémy [France]Source :
Descripteurs français
- mix :
Abstract
We provide a complete error analysis of the Cohen-Olivier algorithm, computing zeta(s), when the argument is real ; we indicate some further complexities which occur when the argument is complex. || Nous fournissons une analyse d'erreur complète dans le cas de l'algorithme de Cohen-Olivier, pour calculer zeta(s), lorsque l'argument est réel. Nous donnons quelques indications des difficultés qui s'introduisent lorsque l'argument est réel.
Url:
Affiliations:
- France
- Grand Est, Lorraine (région)
- Nancy
- Institut national polytechnique de Lorraine, Université Nancy 2, Université de Lorraine
Links toward previous steps (curation, corpus...)
- to stream Hal, to step Corpus: 002009
- to stream Hal, to step Curation: 002009
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- to stream Main, to step Merge: 009072
- to stream Main, to step Curation: 008B46
Le document en format XML
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<term>fonction zeta de riemann</term>
<term>précision arbitraire</term>
<term>précision certifiée</term>
<term>riemann zeta-function</term>
</keywords>
</textClass>
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<front><div type="abstract" xml:lang="fr">We provide a complete error analysis of the Cohen-Olivier algorithm, computing zeta(s), when the argument is real ; we indicate some further complexities which occur when the argument is complex. || Nous fournissons une analyse d'erreur complète dans le cas de l'algorithme de Cohen-Olivier, pour calculer zeta(s), lorsque l'argument est réel. Nous donnons quelques indications des difficultés qui s'introduisent lorsque l'argument est réel.</div>
</front>
</TEI>
<affiliations><list><country><li>France</li>
</country>
<region><li>Grand Est</li>
<li>Lorraine (région)</li>
</region>
<settlement><li>Nancy</li>
</settlement>
<orgName><li>Institut national polytechnique de Lorraine</li>
<li>Université Nancy 2</li>
<li>Université de Lorraine</li>
</orgName>
</list>
<tree><country name="France"><region name="Grand Est"><name sortKey="Petermann, Yves" sort="Petermann, Yves" uniqKey="Petermann Y" first="Yves" last="Pétermann">Yves Pétermann</name>
</region>
<name sortKey="Remy, Jean Luc" sort="Remy, Jean Luc" uniqKey="Remy J" first="Jean-Luc" last="Rémy">Jean-Luc Rémy</name>
</country>
</tree>
</affiliations>
</record>
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