Connection between Gaussian periods and cyclic units-Reference-Cited by-同舟云学术

Connection between Gaussian periods and cyclic units

Published:1988 Issue:182 Volume:50 Page:535-541
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Lehmer Emma

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 + 25 n + 25 p = {n^4} + 5{n^3} + 15{n^2} + 25n + 25

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1988-50-182/S0025-5718-1988-0929551-0/S0025-5718-1988-0929551-0.pdf

Reference10 articles.

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2. Marie-Nicole Gras, "Table numérique du nombre de classes et des unités des extensions cycliques réelles de degré 4 de Q," Publ. Math. Besançon, fasc. 2, 1977/78, pp. 1-26, 1-53.

3. Marie-Nicole Gras, "Familles d’unités dans les extensions cycliques réelles de degré 6 de Q," Publ. Math. Besançon 1984/85-1985/86.

4. Special units in real cyclic sextic fields;Gras, Marie-Nicole;Math. Comp.,1987

5. The sextic period polynomial;Lehmer, D. H.;Pacific J. Math.,1984

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