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arXiv:2006.06388 [math.NT]AbstractReferencesReviewsResources

Rational 2-functions are abelian

Felipe Müller

Published 2020-06-11Version 1

We show that the coefficients of rational 2-functions are contained in an abelian number field. More precisely, we show that the poles of such functions are poles of order one and given by roots of unity and residue which is integral outside the discriminant of the underlying number field.

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