Distribution of zeta zeroes of Artin–Schreier covers

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dc.contributor.authorBucur, A.en_US
dc.contributor.authorChantal, D.en_US
dc.contributor.authorFeigon, B.en_US
dc.contributor.authorMatilde Lalínen_US
dc.contributor.authorSINHA, KANEENIKAen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.date.accessioned2019-02-14T05:05:04Z
dc.date.available2019-02-14T05:05:04Z
dc.date.issued2012-01en_US
dc.description.abstractWe study the distribution of the zeroes of the zeta functions of the family of Artin–Schreier covers of the projective line over Fq when q is fixed and the genus goes to infinity. We consider both the global and the mesoscopic regimes, proving that when the genus goes to infinity, the number of zeroes with angles in a prescribed non-trivial subinterval of [−π,π) has a standard Gaussian distribution (when properly normalized).en_US
dc.identifier.citationMathematical Research Letters, 19(6), 1329 -1356.en_US
dc.identifier.issn1073-2780en_US
dc.identifier.sourcetitleMathematical Research Lettersen_US
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1735
dc.identifier.urihttp://dx.doi.org/10.4310/MRL.2012.v19.n6.a12
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherInternational Pressen_US
dc.subjectZeta zeroesen_US
dc.subjectArtin-Schreier coversen_US
dc.subjectGaussian distributionen_US
dc.subjectMesoscopic regimesen_US
dc.subject2012en_US
dc.titleDistribution of zeta zeroes of Artin–Schreier coversen_US
dc.typeArticleen_US

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