A family of cyclic cubic polynomials whose roots are systems of fundamental units |
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| Authors: | Yasuhiro Kishi |
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| Institution: | Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1 Hachioji-shi, Tokyo 192-0397, Japan |
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| Abstract: | We give a family of cyclic cubic polynomials whose roots are systems of fundamental units of the splitting fields. These polynomials are constructed by a linear fractional transformation from Shanks’ polynomials with rational coefficients. |
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| Keywords: | Cubic field Fundamental unit Class number |
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