The pair correlation of zeros of Dirichlet L-functions and primes in arithmetic progressions

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dc.citation.epage334en_US
dc.citation.issueNumber1en_US
dc.citation.spage325en_US
dc.citation.volumeNumber72en_US
dc.contributor.authorYildirim, C.Y.en_US
dc.date.accessioned2016-02-08T10:55:56Z
dc.date.available2016-02-08T10:55:56Z
dc.date.issued1991en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe define a function which correlates the zeros of two Dirichlet L-functions to the modulus q and we prove an asymptotic estimate for averages of the pair correlation functions over all pairs of characters to (mod q). An analogue of Montgomery's pair correlation conjecture is formulated as to how this estimate can be extended to a greater domain for the parameters that are involved. Based on this conjecture we obtain results about the distribution of primes in an arithmetic progression (to a prime modulus q) and gaps between such primes. © 1991 Springer-Verlag.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:55:56Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 1991en
dc.identifier.doi10.1007/BF02568283en_US
dc.identifier.issn0025-2611
dc.identifier.urihttp://hdl.handle.net/11693/26166
dc.language.isoEnglishen_US
dc.publisherSpringer-Verlagen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/BF02568283en_US
dc.source.titleManuscripta Mathematicaen_US
dc.titleThe pair correlation of zeros of Dirichlet L-functions and primes in arithmetic progressionsen_US
dc.typeArticleen_US

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