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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

P. Erdös
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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(∈),

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 3 , Issue 2 , June 1957 , pp. 102 - 104
Copyright
Copyright © Glasgow Mathematical Journal Trust 1957

References

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