논문KCI 등재
ON PERIODIC P-CONTINUED FRACTION HAVING PERIOD LENGTH ONE
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The aim of this paper is to prove that every quadratic for- mal power series ω can be expressed as a periodic non-simple continued fraction having period length one.
Abstract
The aim of this paper is to prove that every quadratic for- mal power series ω can be expressed as a periodic non-simple continued fraction having period length one.
참고문헌 (4)
- E. B. Burger, "Shrinking the period lengths of continued fractions while still capturing convergents", J. Number Theory, 128(1), pp.144~153 (2008)
- E. B. Van Vleck, "On the convergence of the continued fraction of Gauss and other continued fractions", Ann. of Math, 3(1), pp.1~18 (1901)
- E. B. Van Vleck, "On the convergence of algebraic continued fractions whose coefficients have limiting values", Trans. Amer. Math. Soc, 5(3), pp.253~262 (1904)
- H. Waadeland, "Tales about tails", Proc. Amer. Math. Soc, 90(1), pp.57~64 (1984)
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