On generic cyclic polynomials of odd prime degree
Nakano, Shin
Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, p. 159-162 / Harvested from Project Euclid
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Using Cohen's construction of defining polynomials for a cyclic group of odd prime order, we define a polynomial with some parameters which generates cyclic extensions of a given odd prime degree, and prove it to be generic in the sense as defined below.
Publié le : 2000-12-14
Classification:  Generic polynomial,  cyclic extension,  12F10,  12F12 
@article{1148393402,
     author = {Nakano, Shin},
     title = {On generic cyclic polynomials of odd prime degree},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {76},
     number = {10},
     year = {2000},
     pages = { 159-162},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393402}
}

Nakano, Shin. On generic cyclic polynomials of odd prime degree. Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, pp.  159-162. http://gdmltest.u-ga.fr/item/1148393402/