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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

On multiple prime divisors of cyclotomic polynomials


Author: Wayne L. McDaniel
Journal: Math. Comp. 28 (1974), 847-850
MSC: Primary 10A40; Secondary 10-04
DOI: https://doi.org/10.1090/S0025-5718-1974-0387177-4
MathSciNet review: 0387177
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Abstract: Let q be a prime $< 150$ and ${F_n}$ be the cyclotomic polynomial of order n. All triples (p, n, q) with p an odd prime $< {10^6}$ when $q < 100$ and $p < {10^4}$ when $100 < q < 150$ are given for which ${F_n}(q)$ is divisible by ${p^t}(t > 1)$.


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Keywords: Cyclotomic polynomial, sum of divisors
Article copyright: © Copyright 1974 American Mathematical Society