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

초록

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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