Modular Forms
Identifieur interne : 001082 ( Istex/Corpus ); précédent : 001081; suivant : 001083Modular Forms
Auteurs : Jean-Pierre SerreSource :
- Graduate Texts in Mathematics [ 0072-5285 ] ; 1973.
Abstract
Abstract: Let H denote the upper half plane of C, i.e. the set of complex numbers z whose imaginary part Im(z) is > 0.
Url:
DOI: 10.1007/978-1-4684-9884-4_7
Links to Exploration step
ISTEX:527DAED1351E2B2AA06F3C441FB30A30DB8DE403Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Modular Forms</title>
<author><name sortKey="Serre, Jean Pierre" sort="Serre, Jean Pierre" uniqKey="Serre J" first="Jean-Pierre" last="Serre">Jean-Pierre Serre</name>
<affiliation><mods:affiliation>Collège de France, 75231, Paris Cedex 05, France</mods:affiliation>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:527DAED1351E2B2AA06F3C441FB30A30DB8DE403</idno>
<date when="1973" year="1973">1973</date>
<idno type="doi">10.1007/978-1-4684-9884-4_7</idno>
<idno type="url">https://api.istex.fr/document/527DAED1351E2B2AA06F3C441FB30A30DB8DE403/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">001082</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001082</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Modular Forms</title>
<author><name sortKey="Serre, Jean Pierre" sort="Serre, Jean Pierre" uniqKey="Serre J" first="Jean-Pierre" last="Serre">Jean-Pierre Serre</name>
<affiliation><mods:affiliation>Collège de France, 75231, Paris Cedex 05, France</mods:affiliation>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="s">Graduate Texts in Mathematics</title>
<imprint><date>1973</date>
</imprint>
<idno type="ISSN">0072-5285</idno>
<idno type="ISSN">0072-5285</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0072-5285</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass></textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Abstract: Let H denote the upper half plane of C, i.e. the set of complex numbers z whose imaginary part Im(z) is > 0.</div>
</front>
</TEI>
<istex><corpusName>springer-ebooks</corpusName>
<author><json:item><name>Jean-Pierre Serre</name>
<affiliations><json:string>Collège de France, 75231, Paris Cedex 05, France</json:string>
</affiliations>
</json:item>
</author>
<arkIstex>ark:/67375/HCB-ZW6L9LH7-L</arkIstex>
<language><json:string>eng</json:string>
</language>
<originalGenre><json:string>OriginalPaper</json:string>
</originalGenre>
<abstract>Abstract: Let H denote the upper half plane of C, i.e. the set of complex numbers z whose imaginary part Im(z) is > 0.</abstract>
<qualityIndicators><score>7.288</score>
<pdfWordCount>9964</pdfWordCount>
<pdfCharCount>46407</pdfCharCount>
<pdfVersion>1.4</pdfVersion>
<pdfPageCount>35</pdfPageCount>
<pdfPageSize>439.37 x 666.142 pts</pdfPageSize>
<refBibsNative>false</refBibsNative>
<abstractWordCount>24</abstractWordCount>
<abstractCharCount>118</abstractCharCount>
<keywordCount>0</keywordCount>
</qualityIndicators>
<title>Modular Forms</title>
<chapterId><json:string>7</json:string>
<json:string>Chap7</json:string>
</chapterId>
<genre><json:string>research-article</json:string>
</genre>
<serie><title>Graduate Texts in Mathematics</title>
<language><json:string>unknown</json:string>
</language>
<copyrightDate>1973</copyrightDate>
<issn><json:string>0072-5285</json:string>
</issn>
<volume>Part II</volume>
</serie>
<host><title>A Course in Arithmetic</title>
<language><json:string>unknown</json:string>
</language>
<copyrightDate>1973</copyrightDate>
<doi><json:string>10.1007/978-1-4684-9884-4</json:string>
</doi>
<issn><json:string>0072-5285</json:string>
</issn>
<eisbn><json:string>978-1-4684-9884-4</json:string>
</eisbn>
<bookId><json:string>978-1-4684-9884-4</json:string>
</bookId>
<isbn><json:string>978-0-387-90041-4</json:string>
</isbn>
<volume>7</volume>
<pages><first>77</first>
<last>111</last>
</pages>
<genre><json:string>book-series</json:string>
</genre>
<author><json:item><name>Jean-Pierre Serre</name>
<affiliations><json:string>Collège de France, 75231, Paris Cedex 05, France</json:string>
</affiliations>
</json:item>
</author>
<subject><json:item><value>Mathematics and Statistics</value>
</json:item>
<json:item><value>Mathematics</value>
</json:item>
<json:item><value>Number Theory</value>
</json:item>
</subject>
</host>
<ark><json:string>ark:/67375/HCB-ZW6L9LH7-L</json:string>
</ark>
<publicationDate>1973</publicationDate>
<copyrightDate>1973</copyrightDate>
<doi><json:string>10.1007/978-1-4684-9884-4_7</json:string>
</doi>
<id>527DAED1351E2B2AA06F3C441FB30A30DB8DE403</id>
<score>1</score>
<fulltext><json:item><extension>pdf</extension>
<original>true</original>
<mimetype>application/pdf</mimetype>
<uri>https://api.istex.fr/document/527DAED1351E2B2AA06F3C441FB30A30DB8DE403/fulltext/pdf</uri>
</json:item>
<json:item><extension>zip</extension>
<original>false</original>
<mimetype>application/zip</mimetype>
<uri>https://api.istex.fr/document/527DAED1351E2B2AA06F3C441FB30A30DB8DE403/fulltext/zip</uri>
</json:item>
<istex:fulltextTEI uri="https://api.istex.fr/document/527DAED1351E2B2AA06F3C441FB30A30DB8DE403/fulltext/tei"><teiHeader><fileDesc><titleStmt><title level="a" type="main" xml:lang="en">Modular Forms</title>
<respStmt><resp>Références bibliographiques récupérées via GROBID</resp>
<name resp="ISTEX-API">ISTEX-API (INIST-CNRS)</name>
</respStmt>
</titleStmt>
<publicationStmt><authority>ISTEX</authority>
<publisher scheme="https://publisher-list.data.istex.fr">Springer New York</publisher>
<pubPlace>New York, NY</pubPlace>
<availability><licence><p>Springer-Verlag New York, 1973</p>
</licence>
<p scheme="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-3XSW68JL-F">springer</p>
</availability>
<date>1973</date>
</publicationStmt>
<notesStmt><note type="research-article" scheme="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</note>
<note type="book-series" scheme="https://publication-type.data.istex.fr/ark:/67375/JMC-0G6R5W5T-Z">book-series</note>
</notesStmt>
<sourceDesc><biblStruct type="inbook"><analytic><title level="a" type="main" xml:lang="en">Modular Forms</title>
<author xml:id="author-0000"><persName><forename type="first">Jean-Pierre</forename>
<surname>Serre</surname>
</persName>
<affiliation>Collège de France, 75231, Paris Cedex 05, France</affiliation>
</author>
<idno type="istex">527DAED1351E2B2AA06F3C441FB30A30DB8DE403</idno>
<idno type="ark">ark:/67375/HCB-ZW6L9LH7-L</idno>
<idno type="DOI">10.1007/978-1-4684-9884-4_7</idno>
<idno type="ChapterID">7</idno>
<idno type="ChapterID">Chap7</idno>
</analytic>
<monogr><title level="m">A Course in Arithmetic</title>
<idno type="DOI">10.1007/978-1-4684-9884-4</idno>
<idno type="pISBN">978-0-387-90041-4</idno>
<idno type="eISBN">978-1-4684-9884-4</idno>
<idno type="pISSN">0072-5285</idno>
<idno type="book-title-id">11823</idno>
<idno type="book-id">978-1-4684-9884-4</idno>
<idno type="book-chapter-count">7</idno>
<idno type="book-volume-number">7</idno>
<idno type="book-sequence-number">7</idno>
<idno type="PartChapterCount">2</idno>
<imprint><publisher>Springer New York</publisher>
<pubPlace>New York, NY</pubPlace>
<date type="published" when="1973"></date>
<biblScope unit="volume">7</biblScope>
<biblScope unit="chap">Chapter VII</biblScope>
<biblScope unit="page" from="77">77</biblScope>
<biblScope unit="page" to="111">111</biblScope>
</imprint>
</monogr>
<series><title level="s">Graduate Texts in Mathematics</title>
<biblScope><date>1973</date>
</biblScope>
<biblScope unit="part">Part II</biblScope>
<idno type="pISSN">0072-5285</idno>
<idno type="series-id">136</idno>
</series>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><creation><date>1973</date>
</creation>
<langUsage><language ident="en">en</language>
</langUsage>
<abstract xml:lang="en"><p>Abstract: Let H denote the upper half plane of C, i.e. the set of complex numbers z whose imaginary part Im(z) is > 0.</p>
</abstract>
<textClass><keywords scheme="Book-Subject-Collection"><list><label>SUCO11649</label>
<item><term>Mathematics and Statistics</term>
</item>
</list>
</keywords>
</textClass>
<textClass><keywords scheme="Book-Subject-Group"><list><label>M</label>
<label>M25001</label>
<item><term>Mathematics</term>
</item>
<item><term>Number Theory</term>
</item>
</list>
</keywords>
</textClass>
</profileDesc>
<revisionDesc><change when="1973">Published</change>
<change xml:id="refBibs-istex" who="#ISTEX-API" when="2017-11-28">References added</change>
</revisionDesc>
</teiHeader>
</istex:fulltextTEI>
<json:item><extension>txt</extension>
<original>false</original>
<mimetype>text/plain</mimetype>
<uri>https://api.istex.fr/document/527DAED1351E2B2AA06F3C441FB30A30DB8DE403/fulltext/txt</uri>
</json:item>
</fulltext>
<metadata><istex:metadataXml wicri:clean="corpus springer-ebooks not found" wicri:toSee="no header"><istex:xmlDeclaration>version="1.0" encoding="UTF-8"</istex:xmlDeclaration>
<istex:docType PUBLIC="-//Springer-Verlag//DTD A++ V2.4//EN" URI="http://devel.springer.de/A++/V2.4/DTD/A++V2.4.dtd" name="istex:docType"></istex:docType>
<istex:document><Publisher><PublisherInfo><PublisherName>Springer New York</PublisherName>
<PublisherLocation>New York, NY</PublisherLocation>
<PublisherImprintName>Springer</PublisherImprintName>
</PublisherInfo>
<Series><SeriesInfo TocLevels="0" SeriesType="Series"><SeriesID>136</SeriesID>
<SeriesPrintISSN>0072-5285</SeriesPrintISSN>
<SeriesTitle Language="En">Graduate Texts in Mathematics</SeriesTitle>
</SeriesInfo>
<Book Language="En"><BookInfo Language="En" TocLevels="0" NumberingStyle="ChapterOnly" OutputMedium="All" ContainsESM="No" BookProductType="Graduate/advanced undergraduate textbook" MediaType="eBook"><BookID>978-1-4684-9884-4</BookID>
<BookTitle>A Course in Arithmetic</BookTitle>
<BookVolumeNumber>7</BookVolumeNumber>
<BookSequenceNumber>7</BookSequenceNumber>
<BookDOI>10.1007/978-1-4684-9884-4</BookDOI>
<BookTitleID>11823</BookTitleID>
<BookPrintISBN>978-0-387-90041-4</BookPrintISBN>
<BookElectronicISBN>978-1-4684-9884-4</BookElectronicISBN>
<BookChapterCount>7</BookChapterCount>
<BookCopyright><CopyrightHolderName>Springer-Verlag New York</CopyrightHolderName>
<CopyrightYear>1973</CopyrightYear>
</BookCopyright>
<BookSubjectGroup><BookSubject Type="Primary" Code="M">Mathematics</BookSubject>
<BookSubject Type="Secondary" Priority="1" Code="M25001">Number Theory</BookSubject>
<SubjectCollection Code="SUCO11649">Mathematics and Statistics</SubjectCollection>
</BookSubjectGroup>
<BookContext><SeriesID>136</SeriesID>
</BookContext>
</BookInfo>
<BookHeader><AuthorGroup><Author AffiliationIDS="Aff1"><AuthorName DisplayOrder="Western"><GivenName>Jean-Pierre</GivenName>
<FamilyName>Serre</FamilyName>
</AuthorName>
</Author>
<Affiliation ID="Aff1"><OrgName>Collège de France</OrgName>
<OrgAddress><Postcode>75231</Postcode>
<City>Paris Cedex 05</City>
<Country>France</Country>
</OrgAddress>
</Affiliation>
</AuthorGroup>
</BookHeader>
<Part ID="Part2"><PartInfo TocLevels="0"><PartID>2</PartID>
<PartNumber>Part II</PartNumber>
<PartSequenceNumber>2</PartSequenceNumber>
<PartTitle>Analytic Methods</PartTitle>
<PartChapterCount>2</PartChapterCount>
<PartContext><SeriesID>136</SeriesID>
<BookID>978-1-4684-9884-4</BookID>
<BookTitle>A Course in Arithmetic</BookTitle>
</PartContext>
</PartInfo>
<Chapter Language="En" ID="Chap7"><ChapterInfo Language="En" ChapterType="OriginalPaper" NumberingStyle="ChapterOnly" TocLevels="0" OutputMedium="All" ContainsESM="No"><ChapterID>7</ChapterID>
<ChapterNumber>Chapter VII</ChapterNumber>
<ChapterDOI>10.1007/978-1-4684-9884-4_7</ChapterDOI>
<ChapterSequenceNumber>7</ChapterSequenceNumber>
<ChapterTitle Language="En">Modular Forms</ChapterTitle>
<ChapterFirstPage>77</ChapterFirstPage>
<ChapterLastPage>111</ChapterLastPage>
<ChapterCopyright><CopyrightHolderName>Springer Science+Business Media New York</CopyrightHolderName>
<CopyrightYear>1973</CopyrightYear>
</ChapterCopyright>
<ChapterHistory><RegistrationDate><Year>2012</Year>
<Month>9</Month>
<Day>27</Day>
</RegistrationDate>
</ChapterHistory>
<ChapterGrants Type="Regular"><MetadataGrant Grant="OpenAccess"></MetadataGrant>
<AbstractGrant Grant="OpenAccess"></AbstractGrant>
<BodyPDFGrant Grant="Restricted"></BodyPDFGrant>
<BodyHTMLGrant Grant="Restricted"></BodyHTMLGrant>
<BibliographyGrant Grant="Restricted"></BibliographyGrant>
<ESMGrant Grant="Restricted"></ESMGrant>
</ChapterGrants>
<ChapterContext><SeriesID>136</SeriesID>
<PartID>2</PartID>
<BookID>978-1-4684-9884-4</BookID>
<BookTitle>A Course in Arithmetic</BookTitle>
</ChapterContext>
</ChapterInfo>
<ChapterHeader><AuthorGroup><Author AffiliationIDS="Aff2"><AuthorName DisplayOrder="Western"><GivenName>Jean-Pierre</GivenName>
<FamilyName>Serre</FamilyName>
</AuthorName>
</Author>
<Affiliation ID="Aff2"><OrgName>Collège de France</OrgName>
<OrgAddress><Postcode>75231</Postcode>
<City>Paris Cedex 05</City>
<Country>France</Country>
</OrgAddress>
</Affiliation>
</AuthorGroup>
<Abstract Language="En" ID="Abs1" OutputMedium="Online"><Heading>Abstract</Heading>
<Para>Let <Emphasis Type="Italic">H</Emphasis>
denote the upper half plane of C, i.e. the set of complex numbers <Emphasis Type="Italic">z</Emphasis>
whose imaginary part <Emphasis Type="Italic">Im</Emphasis>
(<Emphasis Type="Italic">z</Emphasis>
) is > 0.</Para>
</Abstract>
</ChapterHeader>
<NoBody></NoBody>
</Chapter>
</Part>
</Book>
</Series>
</Publisher>
</istex:document>
</istex:metadataXml>
<mods version="3.6"><titleInfo lang="en"><title>Modular Forms</title>
</titleInfo>
<titleInfo type="alternative" contentType="CDATA" lang="en"><title>Modular Forms</title>
</titleInfo>
<name type="personal"><namePart type="given">Jean-Pierre</namePart>
<namePart type="family">Serre</namePart>
<affiliation>Collège de France, 75231, Paris Cedex 05, France</affiliation>
<role><roleTerm type="text">author</roleTerm>
</role>
</name>
<typeOfResource>text</typeOfResource>
<genre displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" type="research-article" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre>
<originInfo><publisher>Springer New York</publisher>
<place><placeTerm type="text">New York, NY</placeTerm>
</place>
<dateIssued encoding="w3cdtf">1973</dateIssued>
<dateIssued encoding="w3cdtf">1973</dateIssued>
<copyrightDate encoding="w3cdtf">1973</copyrightDate>
</originInfo>
<language><languageTerm type="code" authority="rfc3066">en</languageTerm>
<languageTerm type="code" authority="iso639-2b">eng</languageTerm>
</language>
<abstract lang="en">Abstract: Let H denote the upper half plane of C, i.e. the set of complex numbers z whose imaginary part Im(z) is > 0.</abstract>
<relatedItem type="host"><titleInfo><title>A Course in Arithmetic</title>
</titleInfo>
<name type="personal"><namePart type="given">Jean-Pierre</namePart>
<namePart type="family">Serre</namePart>
<affiliation>Collège de France, 75231, Paris Cedex 05, France</affiliation>
</name>
<genre type="book-series" displayLabel="Graduate/advanced undergraduate textbook" authority="ISTEX" authorityURI="https://publication-type.data.istex.fr" valueURI="https://publication-type.data.istex.fr/ark:/67375/JMC-0G6R5W5T-Z">book-series</genre>
<originInfo><publisher>Springer</publisher>
<copyrightDate encoding="w3cdtf">1973</copyrightDate>
<issuance>monographic</issuance>
</originInfo>
<subject><genre>Book-Subject-Collection</genre>
<topic authority="SpringerSubjectCodes" authorityURI="SUCO11649">Mathematics and Statistics</topic>
</subject>
<subject><genre>Book-Subject-Group</genre>
<topic authority="SpringerSubjectCodes" authorityURI="M">Mathematics</topic>
<topic authority="SpringerSubjectCodes" authorityURI="M25001">Number Theory</topic>
</subject>
<identifier type="DOI">10.1007/978-1-4684-9884-4</identifier>
<identifier type="ISBN">978-0-387-90041-4</identifier>
<identifier type="eISBN">978-1-4684-9884-4</identifier>
<identifier type="ISSN">0072-5285</identifier>
<identifier type="BookTitleID">11823</identifier>
<identifier type="BookID">978-1-4684-9884-4</identifier>
<identifier type="BookChapterCount">7</identifier>
<identifier type="BookVolumeNumber">7</identifier>
<identifier type="BookSequenceNumber">7</identifier>
<identifier type="PartChapterCount">2</identifier>
<part><date>1973</date>
<detail type="part"><title>Part II: Analytic Methods</title>
</detail>
<detail type="volume"><number>7</number>
<caption>vol.</caption>
</detail>
<detail type="chapter"><number>Chapter VII</number>
</detail>
<extent unit="pages"><start>77</start>
<end>111</end>
</extent>
</part>
<recordInfo><recordOrigin>Springer-Verlag New York, 1973</recordOrigin>
</recordInfo>
</relatedItem>
<relatedItem type="series"><titleInfo><title>Graduate Texts in Mathematics</title>
</titleInfo>
<originInfo><publisher>Springer</publisher>
<copyrightDate encoding="w3cdtf">1973</copyrightDate>
<issuance>serial</issuance>
</originInfo>
<identifier type="ISSN">0072-5285</identifier>
<identifier type="SeriesID">136</identifier>
<part><detail type="volume"><number>Part II</number>
<caption>vol.</caption>
</detail>
<detail type="chapter"><number>Chapter VII</number>
</detail>
</part>
<recordInfo><recordOrigin>Springer-Verlag New York, 1973</recordOrigin>
</recordInfo>
</relatedItem>
<identifier type="istex">527DAED1351E2B2AA06F3C441FB30A30DB8DE403</identifier>
<identifier type="ark">ark:/67375/HCB-ZW6L9LH7-L</identifier>
<identifier type="DOI">10.1007/978-1-4684-9884-4_7</identifier>
<identifier type="ChapterID">7</identifier>
<identifier type="ChapterID">Chap7</identifier>
<accessCondition type="use and reproduction" contentType="copyright">Springer-Verlag New York, 1973</accessCondition>
<recordInfo><recordContentSource authority="ISTEX" authorityURI="https://loaded-corpus.data.istex.fr" valueURI="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-3XSW68JL-F">springer</recordContentSource>
<recordOrigin>Springer Science+Business Media New York, 1973</recordOrigin>
</recordInfo>
</mods>
<json:item><extension>json</extension>
<original>false</original>
<mimetype>application/json</mimetype>
<uri>https://api.istex.fr/document/527DAED1351E2B2AA06F3C441FB30A30DB8DE403/metadata/json</uri>
</json:item>
</metadata>
<annexes><json:item><extension>xml</extension>
<original>true</original>
<mimetype>application/xml</mimetype>
<uri>https://api.istex.fr/document/527DAED1351E2B2AA06F3C441FB30A30DB8DE403/annexes/xml</uri>
</json:item>
</annexes>
</istex>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Istex/Corpus
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001082 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Istex/Corpus/biblio.hfd -nk 001082 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Mathematiques |area= BourbakiV1 |flux= Istex |étape= Corpus |type= RBID |clé= ISTEX:527DAED1351E2B2AA06F3C441FB30A30DB8DE403 |texte= Modular Forms }}
This area was generated with Dilib version V0.6.33. |