FUNDAMENTAL UNITS AND REGULATORS OF AN INFINITE FAMILY OF CYCLIC QUARTIC FUNCTION FIELDS
- 주제(키워드) regulator , function field , quintic extension
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS, KCI등재
- 발행기관 KOREAN MATHEMATICAL SOC
- 발행년도 2017
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000144756
- 본문언어 영어
- Published As http://dx.doi.org/10.4134/JKMS.j160002
초록/요약
We explicitly determine fundamental units and regulators of an infinite family of cyclic quartic function fields L-h of unit rank 3 with a parameter h in a polynomial ring F-q[t], where F-q is the finite field of order q with characteristic not equal to 2. This result resolves the second part of Lehmer's project for the function field case.
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