@article{701c66a03bc04a9b9ceb1e7948b3d4a0,
title = "Fundamental units and regulators of an infinite family of cyclic quartic function fields",
abstract = "We explicitly determine fundamental units and regulators of an infinite family of cyclic quartic function fields Lh of unit rank 3 with a parameter h in a polynomial ring 픽q[t], where 픽q is the finite field of order q with characteristic not equal to 2. This result resolves the second part of Lehmer{\textquoteright}s project for the function field case.",
keywords = "Function field, Quintic extension, Regulator",
author = "Jungyun Lee and Yoonjin Lee",
note = "Funding Information: The authors were supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(2009-0093827), the first named author was also supported by the National Research Foundation of Korea (NRF) grant founded by the Korea government(2011-0023688), and the second named author by the National Research Foundation of Korea(NRF) grant founded by the Korea government (MEST)(2014-002731). Publisher Copyright: {\textcopyright} 2017 Korean Mathematical Society.",
year = "2017",
doi = "10.4134/JKMS.j160002",
language = "English",
volume = "54",
pages = "417--426",
journal = "Journal of the Korean Mathematical Society",
issn = "0304-9914",
publisher = "Korean Mathematical Society",
number = "2",
}