Zhixiong Chen

collaborators

2 papers

math.NT2025

On the $N$ th $2$ -adic complexity of binary sequences identified with algebraic $2$ -adic integers

Zhixiong Chen, Arne Winterhof

We identify a binary sequence $S = (s_{n})_{n = 0}^{\infty}$ with the $2$ -adic integer $G_{S} (2) = n = 0 \sum \infty s_{n} 2^{n}$ . In the case that $G_{S} (2)$ is…

math.CO2025

Probabilistic results on the $2$ -adic complexity

Z. Chen, A. Winterhof

This work is devoted to solving some closely related open problems on the average and asymptotic behavior of the $2$ -adic complexity of binary sequences. First, for fixed $N$ , we p…

On the Nth 2-adic complexity of binary sequences identified with algebraic 2-adic integers

Probabilistic results on the 2-adic complexity

On the $N$ th $2$ -adic complexity of binary sequences identified with algebraic $2$ -adic integers

Probabilistic results on the $2$ -adic complexity