FUNDAMENTAL UNITS AND REGULATORS OF AN INFINITE FAMILY OF CYCLIC QUARTIC FUNCTION FIELDS

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 sec...

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Published inJournal of the Korean Mathematical Society Vol. 54; no. 2; pp. 417 - 426
Main Authors Lee, Jungyun, Lee, Yoonjin
Format Journal Article
LanguageEnglish
Published 대한수학회 01.03.2017
Subjects
수학
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ISSN0304-9914
2234-3008
DOI10.4134/JKMS.j160002

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Abstract 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. KCI Citation Count: 0
AbstractList 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. KCI Citation Count: 0
Author Lee, Yoonjin
Lee, Jungyun
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Snippet 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...
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Title FUNDAMENTAL UNITS AND REGULATORS OF AN INFINITE FAMILY OF CYCLIC QUARTIC FUNCTION FIELDS
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