Report on the irreducibility of L -functions
Identifieur interne : 002668 ( Istex/Curation ); précédent : 002667; suivant : 002669Report on the irreducibility of L -functions
Auteurs : Nicholas M. Katz [États-Unis]Source :
Abstract
Abstract: In this paper, in honor of the memory of Serge Lang, we apply ideas of Chavdarov and work of Larsen to study the $$\mathbb{Q}$$ -irreducibility, or lack thereof, of various orthogonal L-functions, especially L-functions of elliptic curves over function fields in one variable over finite fields. We also discuss two other approaches to these questions, based on work of Matthews, Vaserstein, and Weisfeller, and on work of Zalesskii-Serezkin.
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DOI: 10.1007/978-1-4614-1260-1_15
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<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Report on the irreducibility of L -functions</title><author><name sortKey="Katz, Nicholas M" sort="Katz, Nicholas M" uniqKey="Katz N" first="Nicholas M." last="Katz">Nicholas M. Katz</name><affiliation wicri:level="1"><mods:affiliation>Department of Mathematics, Princeton University, Fine Hall, 08544-1000, Princeton, NJ, USA</mods:affiliation><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Mathematics, Princeton University, Fine Hall, 08544-1000, Princeton, NJ</wicri:regionArea></affiliation><affiliation wicri:level="1"><mods:affiliation>E-mail: nmk@math.princeton.edu</mods:affiliation><country wicri:rule="url">États-Unis</country></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:BB94794416F4A222427A2883B070D969A5B4ED1D</idno><date when="2012" year="2012">2012</date><idno type="doi">10.1007/978-1-4614-1260-1_15</idno><idno type="url">https://api.istex.fr/document/BB94794416F4A222427A2883B070D969A5B4ED1D/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">002668</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">002668</idno><idno type="wicri:Area/Istex/Curation">002668</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Report on the irreducibility of L -functions</title><author><name sortKey="Katz, Nicholas M" sort="Katz, Nicholas M" uniqKey="Katz N" first="Nicholas M." last="Katz">Nicholas M. Katz</name><affiliation wicri:level="1"><mods:affiliation>Department of Mathematics, Princeton University, Fine Hall, 08544-1000, Princeton, NJ, USA</mods:affiliation><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Mathematics, Princeton University, Fine Hall, 08544-1000, Princeton, NJ</wicri:regionArea></affiliation><affiliation wicri:level="1"><mods:affiliation>E-mail: nmk@math.princeton.edu</mods:affiliation><country wicri:rule="url">États-Unis</country></affiliation></author></analytic><monogr></monogr></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: In this paper, in honor of the memory of Serge Lang, we apply ideas of Chavdarov and work of Larsen to study the $$\mathbb{Q}$$ -irreducibility, or lack thereof, of various orthogonal L-functions, especially L-functions of elliptic curves over function fields in one variable over finite fields. We also discuss two other approaches to these questions, based on work of Matthews, Vaserstein, and Weisfeller, and on work of Zalesskii-Serezkin.</div></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
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