Real quadratic function fields of minimal type
Commun. Korean Math. Soc. 2013 Vol. 28, No. 4, 735-740
https://doi.org/10.4134/CKMS.2013.28.4.735
Printed October 1, 2013
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
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