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On the growth of the cyclotomic polynomial in the interval (0, 1)
Published online by Cambridge University Press: 18 May 2009
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Let
be the rath cyclotomic polynomial, and denote by An the absolute value of the largest coefficient of Fn(x).Schur proved that
and Emma Lehmer [5] showed that An>cn1/3 for infinitely many n; in fact she proved that n can be chosen as the product of three distinct primes. I proved [3] that there exists a positive constant q such that, for infinitely many n
and Bateman [1] proved very simply that, for every ∈>0 and all n>no(∈),
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- Copyright © Glasgow Mathematical Journal Trust 1957
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