Search techniques for root-unitary polynomials

dc.creatorKedlaya, Kiran S.
dc.date2006-08-03
dc.date2007-09-25
dc.date.accessioned2026-07-07T08:31:55Z
dc.date.available2026-07-07T08:31:55Z
dc.descriptionWe give an anecdotal discussion of the problem of searching for polynomials with all roots on the unit circle, whose coefficients are rational numbers subject to certain congruence conditions. We illustrate with an example from a calculation in p-adic cohomology made by Abbott, Kedlaya, and Roe, in which (using an implementation developed with Andre Wibisono) we recover the zeta function of a surface over a finite field.
dc.description11 pages; v3: final version. Minor changes from v2 (but significant from v1)
dc.identifierhttps://arxiv.org/abs/math/0608104
dc.identifierhttp://arxiv.org/abs/math/0608104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138645
dc.subjectNumber Theory
dc.subject26C10, 12D10
dc.titleSearch techniques for root-unitary polynomials
dc.typetext

Files

Collections