On some properties of partial quotients of the continued fraction expansion of $$\sqrt{d}$$ with even period

Author:

Kawamoto Fuminori,Kishi Yasuhiro,Tomita Koshi

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference10 articles.

1. Golubeva, E.P.: Quadratic irrationalities with a fixed length of the period of continued fraction expansion, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 196 (1991), Modul. Funktsii Kvadrat. Formy. 2, 5-30, 172

2. translation in J. Math. Sci. 70(6), 2059-2076 (1994)

3. Halter-Koch, F.: Quadratic Irrationals: An Introduction to Classical Number Theory. CRC Press, Boca Raton, FL (2013)

4. Kawamoto, F., Kishi, Y., Tomita, K.: Continued fraction expansions with even period and priary symmetric parts with extremely large end. Comm. Math. Univ. Sancti Pauli 64(2), 131–155 (2015)

5. Kawamoto, F., Tomita, K.: Continued fractions and certain real quadratic fields of minimal type. J. Math. Soc. Japan 60(3), 865–903 (2008)

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