Zhu Yaochen

The algebraic independence of certain transcendental continued fractions

AbstractIn the present note the algebraic independence of certain continued fractions is proved. Especially, we prove that the Böhmer-Mahlers series

A note on certain fields of finite transcendence type

\sum\limits_{K = 1}^\infty {\left[ {\omega _v k} \right]} {\text{ }}g_\mu ^{ - k} \left( {1 \leqslant \mu \leqslant s,1 \leqslant v \leqslant t} \right)

A method for exact calculation of the discrepancy of low-dimensional finite point sets (II)

are algebraically independent, where

On interpolation of a class of functions by a number-theoretic method

\mathop \omega \nolimits_1 {\text{ , }}...{\text{ , }}\mathop \omega \nolimits_{\text{t}}

A Note of Irrationality Measure of Mahler's Transcendental Fractions

, ...,