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학술저널

HILBERT 3-CLASS FIELD TOWERS OF REAL CUBIC FUNCTION FIELDS

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In this paper we study the in¯niteness of Hilbert 3-class ¯eld tower of real cubic function ¯elds over Fq(T), where q ´ 1 mod 3. We also give various examples of real cubic function ¯elds whose Hilbert 3-class ¯eld tower is in¯nite.

1. Introduction

2. Preliminaries

3. Hilbert 3-class ¯eld tower of real cubic function ¯eld

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