arXiv subjects

Zhi-xiong Wen

Publications and source records attributed to Zhi-xiong Wen.

2 recordsLinked to original sources

arXiv2016

On the rational approximations to the real numbers corresponding to the differences of the Fibonacci sequence

Based on the structure of Fibonacci sequence, we give a new proof for the irrationality exponents of the Fibonacci real numbers. Moreover, we obtain all the irrationality exponents of the real numbers corresponding to the differences of Fibonacci sequence.

math.NT↗

arXiv2014

Hankel determinants of the Cantor sequence

In the paper, we give the recurrent equations of the Hankel determinants of the Cantor sequence, and show that the Hankel determinants as a double sequence is 3-automatic. With the help of the Hankel determinants, we prove that the irrationality exponent of the Cantor number, i.e. the transcendental number with Cantor sequence as its b-ary expansion, equals 2.

math.NT↗