Divisors, Measures and Critical Functions

Proceedings Mathematical Sciences

B Petracovici³  A Zaharescu¹  L Petracovici² 

[1] $$;Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 0, USA$$;Department of Mathematics, Western Illinois University, Macomb, IL , USA$$

关键词: Trace function;    divisors;    minimal polynomial;    critical function.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In [4] we have introduced a new distance between Galois orbits over $mathbb{Q}$. Using generalized divisors, we have extended the notion of trace of an algebraic number to other transcendental quantities. In this article we continue the work started in [4]. We define the critical function for a class of transcendental numbers, that generalizes the notion of minimal polynomial of an algebraic number. Our results extend the results obtained by Popescu et al [5].

【 授权许可】

Unknown