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Discriminants of polynomials related to Chebyshev polynomials: The “Mutt and Jeff ” syndrome
- Source :
-
Journal of Mathematical Analysis & Applications . Nov2011, Vol. 383 Issue 1, p120-129. 10p. - Publication Year :
- 2011
-
Abstract
- Abstract: The discriminants of certain polynomials related to Chebyshev polynomials factor into the product of two polynomials, one of which has coefficients that are much larger than the otherʼs. Remarkably, these polynomials of dissimilar size have “almost” the same roots, and their discriminants involve exactly the same prime factors. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 383
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 61243790
- Full Text :
- https://doi.org/10.1016/j.jmaa.2011.05.005