Geodesic
On the growth of the cyclotomic polynomial in the interval (0, 1)
Glasgow mathematical journal, Tome 2 (1957) no. 2, pp. 102-104

Voir la notice de l'article provenant de la source Cambridge University Press

Letbe the rath cyclotomic polynomial, and denote by An the absolute value of the largest coefficient of Fn(x).Schur proved thatand 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 nand Bateman [1] proved very simply that, for every ∈>0 and all n>no(∈), 
On the growth of the cyclotomic polynomial in the interval (0, 1). Glasgow mathematical journal, Tome 2 (1957) no. 2, pp. 102-104. doi: 10.1017/S2040618500033517
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[1] 1.Bateman, P. T., Note on the coefficients of the cyclotomic polynomial, Bull. Amer. Math. Soc. 55 (1949), 1180–1181. Google Scholar | DOI

[2] 2.Erdös, P., On the coefficients of the cyclotomic polynomial, Bull. Amer. Math. Soc., 52 (1946), 179–184. Google Scholar | DOI

[3] 3.Erdös, P., On the coefficients of the cyclotomic polynomial, Portugaliae Math., 8 (1949), 63–71. Google Scholar

[4] 4.Lehmer, D. H., The distribution of totatives, Canadian Math. J., 7 (1955), 347–357. Google Scholar | DOI

[5] 5.Lehmer, Emma, On the magnitude of the coefficients of the cyclotomic polynomial, Bull. Amer. Math. Soc. 42 (1936), 389–392. Google Scholar | DOI

[6] 6.Vijayaraghavan, T., On a problem in elementary number theory, J. Indian Math. Soc. (N.S.), 15 (1951), 51–56. Google Scholar

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