Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2013; 28(4): 735-740

Printed October 1, 2013

https://doi.org/10.4134/CKMS.2013.28.4.735

Copyright © The Korean Mathematical Society.

Real quadratic function fields of minimal type

Dongho Byeon, Jiae Keem, and Sangyoon Lee

Seoul National University, Seoul National University, Seoul National University

Abstract

In this paper, we will introduce the notion of the real quadratic function fields of minimal type, which is a function field analogue to Kawamoto and Tomita's notion of real quadratic fields of minimal type. As number field cases, we will show that there are exactly 6 real quadratic function fields of class number one that are not of minimal type.

Keywords: function field, class number