Abstract
We develop a general classification theory for Brumer's dihedral quintic polynomials by means of Kummer theory arising from certain elliptic curves. We also give a similar theory for cubic polynomials.
Original language | English |
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Pages (from-to) | 691-704 |
Number of pages | 14 |
Journal | International Journal of Number Theory |
Volume | 6 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2010 May |
Keywords
- Brumer's quintic polynomial
- Dihedral extension
- Elliptic curve
- Kummer theory
ASJC Scopus subject areas
- Algebra and Number Theory