most citedClassifying Brumer's quintic polynomials by weak Mordell-Weil groups

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math.NT2008★ 3 cited

Classifying Brumer's quintic polynomials by weak Mordell-Weil groups

Masanari Kida, Yuichi Rikuna, Atsushi Sato

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 f…