- K. Hashimoto and A. Hoshi. "Families of Cyclic Polynomials Obtained from Geometric Generalization of Gaussian Period Relations." Math. Comp. 74 (2005), 1519–1530.
- N. Katz. "Galois Properties of Torsion Points on Abelian Varieties." Invent. math. 62 (1981), 481–502.
- E. Lehmer. "Connection between Gaussian Periods and Cyclic Units." Math. Comp. 50 (1988), 535–541.
- F. Thaine. "Jacobi Sums and New Families of Irreducible Polynomials of Gaussian Periods." Math. Comp. 70:236 (2001), 1617–1640.
- F. Thaine. "Cyclic Polynomials and the Multiplication Matrices of Their Roots." J. Pure Appl. Algebra 188 (2004), 247–286.
- F. Thaine. "Finding Families of Units of Cyclic Fields." Algebraic Number Theory and Related Topics, RIMS Kokyuroku 1451 (2005), 207–215.
- "Abelian Number Fields of Small Degree." In Proc. KAIST Math. Workshop, 5, Korea Adv. Sci. Tech., Taejon, pp. 63–78, 1990.
- B. Mazur. "Arithmetic on Curves." Bull. Amer. Math. Soc. 14:2 (1986), 207–259.
- B. Poonen. "Computational Aspects of Curves of Genus at Least 2." ANTS-II, Talence, France, Lecture Notes in Computer Science 1122 (1996), 283–306.
- R. Schoof and L. Washington. "Quintic Polynomials and Real Cyclotomic Fields with Large Class Numbers." Math. Comp. 50 (1988), 543–556.
- H. Stichtenoth. Algebraic Function Fields and Codes. New York: Springer-Verlag, 1993.
On the Construction of Families of Cyclic Polynomials Whose Roots Are Units
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