Communications of the
Korean Mathematical Society
CKMS

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

Article

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Commun. Korean Math. Soc. 1999; 14(3): 487-492

Printed September 1, 1999

Copyright © The Korean Mathematical Society.

Certain Real Quadratic Fields with Class Number 7,9,11,13

Hwa-Sin Park, Joong-Soo Park, Dae-Yeoul Kim

Chonbuk National University, Woosuk University, Korea Advanced Institute of Science and Technology

Abstract

Let $K=\Bbb Q(\sqrt p)$ where $p$ is a prime of the form $a^2+4$. In [6], we obtained such $p$'s when $K$ has class number 1, 3, 5. In this paper, we extend the above result. We obtain such $p$'s having class number 7, 9, 11, 13.

Keywords: quadratic fields, Dedekind class number formula, class number

MSC numbers: 11R11, 11R29, 11Y40