학술저널
SOME REMARKS ON THE PERIODIC CONTINUED FRACTION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 2
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2009.06155 - 159 (5 pages)
- 0
Using the Binet’s formula, we show that the quotient related ratio l1(x) 6= 0 for the eventually periodic continued fraction x. Using this ratio, we also show that the derivative of the Minkowski question mark function at the simple periodic continued fraction is infinite or 0. In particular, l1([1]) = 2 log where is the golden mean (1+p5)/2 and the derivative of the Minkowski question mark function at the simple periodic continued fraction [1] is infinite.
1. Introduction
2. Preliminaries
3. Main results
Acknowledgements
References
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