Distribution of zeta zeroes of Artin–Schreier covers

dc.contributor.author	Bucur, A.	en_US
dc.contributor.author	Chantal, D.	en_US
dc.contributor.author	Feigon, B.	en_US
dc.contributor.author	Matilde Lalín	en_US
dc.contributor.author	SINHA, KANEENIKA	en_US
dc.date.accessioned	2019-02-14T05:05:04Z
dc.date.available	2019-02-14T05:05:04Z
dc.date.issued	2012-01	en_US
dc.identifier.citation	Mathematical Research Letters, 19(6), 1329 -1356.	en_US
dc.identifier.issn	1073-2780	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1735
dc.identifier.uri	http://dx.doi.org/10.4310/MRL.2012.v19.n6.a12	en_US
dc.description.abstract	We 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.language.iso	en	en_US
dc.publisher	International Press	en_US
dc.subject	Zeta zeroes	en_US
dc.subject	Artin-Schreier covers	en_US
dc.subject	Gaussian distribution	en_US
dc.subject	Mesoscopic regimes	en_US
dc.subject	2012	en_US
dc.title	Distribution of zeta zeroes of Artin–Schreier covers	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Mathematical Research Letters	en_US
dc.publication.originofpublisher	Foreign	en_US