Article contents
CAUCHY–MIRIMANOFF AND RELATED POLYNOMIALS
Published online by Cambridge University Press: 27 September 2012
Abstract
In 1903 Mirimanoff conjectured that Cauchy–Mirimanoff polynomials En are irreducible over ℚ for odd prime n. Polynomials Rn, Sn, Tn are introduced, closely related to En. It is proved that Rm, Sm, Tm are irreducible over ℚ for odd m≥3 , and En, Rn, Sn are irreducible over ℚ, for n=2qm, q=1,2,3,4,5 , and m≥1 odd.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2012
References
- 2
- Cited by