Connection between Gaussian periods and cyclic units
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- by Emma Lehmer PDF
- Math. Comp. 50 (1988), 535-541 Request permission
Abstract:
This paper finds that all known parametric families of units in real quadratic, cubic, quartic and sextic fields with prime conductor are linear combinations of Gaussian periods and exhibits these combinations. This approach is used to find new units in the real quintic field for prime conductors $p = {n^4} + 5{n^3} + 15{n^2} + 25n + 25$References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Math. Comp. 50 (1988), 535-541
- MSC: Primary 11R11; Secondary 11R16, 11R21, 11R27
- DOI: https://doi.org/10.1090/S0025-5718-1988-0929551-0
- MathSciNet review: 929551