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 𝔽q[t], where 𝔽q 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.
| Original language | English |
|---|---|
| Pages (from-to) | 417-426 |
| Number of pages | 10 |
| Journal | Journal of the Korean Mathematical Society |
| Volume | 54 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2017 |
Bibliographical note
Publisher Copyright:© 2017 Korean Mathematical Society.
Keywords
- Function field
- Quintic extension
- Regulator