Search techniques for root-unitary polynomials

Details Search techniques for root-unitary polynomials Search techniques for root-unitary polynomials

2006-08-03

arxiv.org/abs/math/0608104v3

Mathematics

Number Theory

11 pages; v3: final version. Minor changes from v2 (but significant from v1)

Scientific paper

We 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.

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