Abstract
In [4] we have introduced a new distance between Galois orbits over Q{double-struck}. 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].
| Original language | English (US) |
|---|---|
| Pages (from-to) | 351-368 |
| Number of pages | 18 |
| Journal | Proceedings of the Indian Academy of Sciences: Mathematical Sciences |
| Volume | 119 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 2009 |
Keywords
- Critical function
- Divisors
- Minimal polynomial
- Trace function
ASJC Scopus subject areas
- General Mathematics