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INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS
Published online by Cambridge University Press: 26 February 2015
Abstract
We study analytic properties of certain infinite products of cyclotomic polynomials that generalise some products introduced by Mahler. We characterise those that have the unit circle as a natural boundary and use associated Dirichlet series to obtain their asymptotic behaviour near roots of unity.
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- Research Article
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- © 2015 Australian Mathematical Publishing Association Inc.
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