Annales Mathématiques
Blaise Pascal
no. 1
On D 5 -polynomials with integer coefficients
Yasuhiro Kishi1
1 Department of Mathematics Fukuoka University of Education 1-1 Bunkyoumachi Akama, Munakata-shi Fukuoka, 811-4192 Japan
Annales mathématiques Blaise Pascal, Tome 16 (2009) no. 1, pp. 113-125.

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.

DOI : 10.5802/ambp.258
Classification : 11R29
Mots clés : class number, Fibonacci number, polynomial

Yasuhiro Kishi 1

1 Department of Mathematics Fukuoka University of Education 1-1 Bunkyoumachi Akama, Munakata-shi Fukuoka, 811-4192 Japan 
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Yasuhiro Kishi. On $D_5$-polynomials with integer coefficients. Annales mathématiques Blaise Pascal, Tome 16 (2009) no. 1, pp. 113-125. doi : 10.5802/ambp.258. https://ambp.centre-mersenne.org/articles/10.5802/ambp.258/

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