On D 5 -polynomials with integer coefficients
Kishi, Yasuhiro
Annales mathématiques Blaise Pascal, Tome 16 (2009), p. 113-125 / Harvested from Numdam
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We give a family of D 5 -polynomials with integer coefficients whose splitting fields over ℚ are unramified cyclic quintic extensions of quadratic fields. Our polynomials are constructed by using Fibonacci, Lucas numbers and units of certain cyclic quartic fields.

Publié le : 2009-01-01
DOI : https://doi.org/10.5802/ambp.258
Classification:  11R29 
@article{AMBP_2009__16_1_113_0,
     author = {Kishi, Yasuhiro},
     title = {On $D\_5$-polynomials with integer coefficients},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {16},
     year = {2009},
     pages = {113-125},
     doi = {10.5802/ambp.258},
     zbl = {1173.11059},
     mrnumber = {2514531},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2009__16_1_113_0}
}

Kishi, Yasuhiro. On $D_5$-polynomials with integer coefficients. Annales mathématiques Blaise Pascal, Tome 16 (2009) pp. 113-125. doi : 10.5802/ambp.258. http://gdmltest.u-ga.fr/item/AMBP_2009__16_1_113_0/

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