Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2024; 61(4): 779-796

Online first article June 21, 2024      Printed July 1, 2024

https://doi.org/10.4134/JKMS.j230527

Copyright © The Korean Mathematical Society.

On the existence of real quadratic fields with odd period of minimal type

Takanobu Eguchi, Yasuhiro Kishi

Aichi University of Education; Aichi University of Education

Abstract

In this paper, under the ABC-conjecture, we show that there exist infinitely many real quadratic fields with odd period of minimal type.

Keywords: Real quadratic fields of minimal type, continued fractions

MSC numbers: Primary 11R11, 11A55

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