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arXiv · 1507.07098

Cyclotomic coefficients: gaps and jumps

Oana-Maria Camburu·Emil-Alexandru Ciolan·Florian Luca·Pieter Moree·Igor E. Shparlinski
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Abstract

We improve several recent results by Hong, Lee, Lee and Park (2012) on gaps and Bzd\c{e}ga (2014) on jumps amongst the coefficients of cyclotomic polynomials. Besides direct improvements, we also introduce several new techniques that have never been used in this area.

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Oana-Maria Camburu, Emil-Alexandru Ciolan, Florian Luca, Pieter Moree, Igor E. Shparlinski. 2015-07-25. Cyclotomic coefficients: gaps and jumps. https://arxiv.org/abs/1507.07098

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