The Large Sieve and Galois Representations

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dc.creatorZywina, David
dc.date2008-12-11
dc.date.accessioned2026-07-07T12:12:04Z
dc.date.available2026-07-07T12:12:04Z
dc.descriptionWe describe a generalization of the large sieve to situations where the underlying groups are nonabelian, and give several applications to the arithmetic of abelian varieties. In our applications, we sieve the set of primes via the system of representations arising from the Galois action on the torsion points of an abelian variety. The resulting upper bounds require explicit character sum calculations, with stronger results holding if one assumes the Generalized Riemann Hypothesis.
dc.description36 pages
dc.identifierhttps://arxiv.org/abs/0812.2222
dc.identifierhttp://arxiv.org/abs/0812.2222
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210427
dc.subjectNumber Theory
dc.subject11N35 (Primary) 11G05, 11F80 (Secondary)
dc.titleThe Large Sieve and Galois Representations
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