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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Resultants of cyclotomic polynomials


Authors: Charles Ching-an Cheng, James H. McKay and Stuart Sui Sheng Wang
Journal: Proc. Amer. Math. Soc. 123 (1995), 1053-1059
MSC: Primary 12E10; Secondary 11R18
MathSciNet review: 1242077
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Abstract: A formula for $ \operatorname{Re} {{\text{s}}_x}({\Phi _a}({x^b}),{\Phi _c}({x^d}))$ is given where $ {\Phi _a}(x)$ denotes the ath cyclotomic polynomial. This extends a result of Lehmer, Diederichsen, and Apostol.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1242077-8
PII: S 0002-9939(1995)1242077-8
Keywords: Resultant, cyclotomic polynomial, chain rule for resultants
Article copyright: © Copyright 1995 American Mathematical Society