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 in | Journal of the Korean Mathematical Society Vol. 54; no. 2; pp. 417 - 426 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
대한수학회
01.03.2017
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0304-9914 2234-3008 |
| DOI | 10.4134/JKMS.j160002 |
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| Summary: | 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 |
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| Bibliography: | G704-000208.2017.54.2.022 |
| ISSN: | 0304-9914 2234-3008 |
| DOI: | 10.4134/JKMS.j160002 |