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ARITHMETIC PROPERTIES OF INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS
Published online by Cambridge University Press: 08 January 2016
Abstract
We study transcendence properties of certain infinite products of cyclotomic polynomials. In particular, we determine all cases in which the product is hypertranscendental. We then use various results from Mahler’s transcendence method to obtain algebraic independence results on such functions and their values.
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- Research Article
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- © 2016 Australian Mathematical Publishing Association Inc.
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