Silan Zhang, Jingbo Xia, Jianhua Chen, Xiao-chuan Ai
Abstract
In this paper, we study four-parametric quartic Thue equations. An efiective upper bound of the solutions $(x, y)$ is obtained for the four-parametric quartic Thue equations by using simpler method to approximate certain algebraic numbers, which extends the number of parameters from 2 to 4.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In this paper, we study four-parametric quartic Thue equations. An efiective upper bound of the solutions $(x, y)$ is obtained for the four-parametric quartic Thue equations by using simpler method to approximate certain algebraic numbers, which extends the number of parameters from 2 to 4.
Key concepts: Quartic function, Thue equation, Mathematics, Parametric statistics, Quartic surface, Algebraic number, Applied mathematics, Algebraic equation