A note on Burgess’s estimate
Identifieur interne : 000462 ( Main/Exploration ); précédent : 000461; suivant : 000463A note on Burgess’s estimate
Auteurs : P. X. Gallagher [États-Unis] ; H. L. Montgomery [États-Unis]Source :
- Mathematical Notes [ 0001-4346 ] ; 2010-10-01.
English descriptors
- KwdEn :
Abstract
Abstract: By introducing the Rademacher-Menchov device, we prove “maximal” analogs of principal bounds of character sums. This allows us to present the Burgess method so as to separate the main idea of this method from the technical issues.
Url:
DOI: 10.1134/S000143461009004X
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 001514
- to stream Istex, to step Curation: 001514
- to stream Istex, to step Checkpoint: 000422
- to stream Main, to step Merge: 000466
- to stream Main, to step Curation: 000462
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">A note on Burgess’s estimate</title>
<author><name sortKey="Gallagher, P X" sort="Gallagher, P X" uniqKey="Gallagher P" first="P. X." last="Gallagher">P. X. Gallagher</name>
</author>
<author><name sortKey="Montgomery, H L" sort="Montgomery, H L" uniqKey="Montgomery H" first="H. L." last="Montgomery">H. L. Montgomery</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:6631F2978AEFF04A7F62E2E21CD859A0B5F58697</idno>
<date when="2010" year="2010">2010</date>
<idno type="doi">10.1134/S000143461009004X</idno>
<idno type="url">https://api.istex.fr/document/6631F2978AEFF04A7F62E2E21CD859A0B5F58697/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">001514</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001514</idno>
<idno type="wicri:Area/Istex/Curation">001514</idno>
<idno type="wicri:Area/Istex/Checkpoint">000422</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000422</idno>
<idno type="wicri:doubleKey">0001-4346:2010:Gallagher P:a:note:on</idno>
<idno type="wicri:Area/Main/Merge">000466</idno>
<idno type="wicri:Area/Main/Curation">000462</idno>
<idno type="wicri:Area/Main/Exploration">000462</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">A note on Burgess’s estimate</title>
<author><name sortKey="Gallagher, P X" sort="Gallagher, P X" uniqKey="Gallagher P" first="P. X." last="Gallagher">P. X. Gallagher</name>
<affiliation wicri:level="4"><country xml:lang="fr">États-Unis</country>
<wicri:regionArea>Department of Mathematics, Columbia University, Columbia</wicri:regionArea>
<orgName type="university">Université Columbia</orgName>
<placeName><settlement type="city">New York</settlement>
<region type="state">État de New York</region>
</placeName>
</affiliation>
<affiliation wicri:level="1"><country wicri:rule="url">États-Unis</country>
</affiliation>
</author>
<author><name sortKey="Montgomery, H L" sort="Montgomery, H L" uniqKey="Montgomery H" first="H. L." last="Montgomery">H. L. Montgomery</name>
<affiliation wicri:level="1"><country xml:lang="fr">États-Unis</country>
<wicri:regionArea>Department of Mathematics, University of Michigan, Ann Arbor</wicri:regionArea>
<wicri:noRegion>Ann Arbor</wicri:noRegion>
</affiliation>
<affiliation wicri:level="1"><country wicri:rule="url">États-Unis</country>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Mathematical Notes</title>
<title level="j" type="abbrev">Math Notes</title>
<idno type="ISSN">0001-4346</idno>
<idno type="eISSN">1573-8876</idno>
<imprint><publisher>SP MAIK Nauka/Interperiodica</publisher>
<pubPlace>Dordrecht</pubPlace>
<date type="published" when="2010-10-01">2010-10-01</date>
<biblScope unit="volume">88</biblScope>
<biblScope unit="issue">3-4</biblScope>
<biblScope unit="page" from="321">321</biblScope>
<biblScope unit="page" to="329">329</biblScope>
</imprint>
<idno type="ISSN">0001-4346</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0001-4346</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Dirichlet character</term>
<term>Hölder’s inequality</term>
<term>Legendre symbol</term>
<term>Rademacher-Menchov device</term>
<term>generalized Riemann hypothesis</term>
</keywords>
</textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Abstract: By introducing the Rademacher-Menchov device, we prove “maximal” analogs of principal bounds of character sums. This allows us to present the Burgess method so as to separate the main idea of this method from the technical issues.</div>
</front>
</TEI>
<affiliations><list><country><li>États-Unis</li>
</country>
<region><li>État de New York</li>
</region>
<settlement><li>New York</li>
</settlement>
<orgName><li>Université Columbia</li>
</orgName>
</list>
<tree><country name="États-Unis"><region name="État de New York"><name sortKey="Gallagher, P X" sort="Gallagher, P X" uniqKey="Gallagher P" first="P. X." last="Gallagher">P. X. Gallagher</name>
</region>
<name sortKey="Gallagher, P X" sort="Gallagher, P X" uniqKey="Gallagher P" first="P. X." last="Gallagher">P. X. Gallagher</name>
<name sortKey="Montgomery, H L" sort="Montgomery, H L" uniqKey="Montgomery H" first="H. L." last="Montgomery">H. L. Montgomery</name>
<name sortKey="Montgomery, H L" sort="Montgomery, H L" uniqKey="Montgomery H" first="H. L." last="Montgomery">H. L. Montgomery</name>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000462 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000462 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Mathematiques |area= BourbakiV1 |flux= Main |étape= Exploration |type= RBID |clé= ISTEX:6631F2978AEFF04A7F62E2E21CD859A0B5F58697 |texte= A note on Burgess’s estimate }}
This area was generated with Dilib version V0.6.33. |