The Lehmer project
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- by D. H. Lehmer and Emma Lehmer PDF
- Math. Comp. 61 (1993), 313-317 Request permission
Abstract:
It is shown that cyclic differences of cyclotomic periods can be useful in finding units in cyclic extensions of the rationals of degree less than or equal to 6. The polynomials for these differences are simpler than the polynomials for the corresponding periods. The cyclic differences depend on the choice of a primitive root; the question is raised as to which choices of primitive root yield units.References
- Marie-Nicole Gras, Special units in real cyclic sextic fields, Math. Comp. 48 (1987), no. 177, 179–182. MR 866107, DOI 10.1090/S0025-5718-1987-0866107-1
- Andrew J. Lazarus, Cyclotomy and delta units, Math. Comp. 61 (1993), no. 203, 295–305. MR 1189520, DOI 10.1090/S0025-5718-1993-1189520-7
- D. H. Lehmer and Emma Lehmer, The sextic period polynomial, Pacific J. Math. 111 (1984), no. 2, 341–355. MR 734860
- Emma Lehmer, Connection between Gaussian periods and cyclic units, Math. Comp. 50 (1988), no. 182, 535–541. MR 929551, DOI 10.1090/S0025-5718-1988-0929551-0
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Math. Comp. 61 (1993), 313-317
- MSC: Primary 11R27; Secondary 11T22
- DOI: https://doi.org/10.1090/S0025-5718-1993-1189521-9
- MathSciNet review: 1189521