๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The nearest polynomial with a zero in a given domain

โœ Scribed by Hiroshi Sekigawa


Book ID
108281487
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
648 KB
Volume
409
Category
Article
ISSN
0304-3975

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Compositions of Polynomials with Coeffic
โœ Alan Horwitz ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 125 KB

Let F โŠ‚ K be fields of characteristic 0, and let K x denote the ring of polynomials with coefficients in K. โˆˆ F for some j โ‰ฅ 1. Suppose that p โˆˆ K x , q โˆˆ K x \F x p not constant. Our main result is that p โ€ข q / โˆˆ F x and D F p โ€ข q = D F q . With only the assumption that a n b m โˆˆ F, we prove the i