𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On generic polynomials

✍ Scribed by Frank DeMeyer; Thomas McKenzie


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
91 KB
Volume
261
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Generic polynomials
✍ Frank R DeMeyer πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 502 KB
Generic Extensions and Generic Polynomia
✍ Arne Ledet πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 213 KB

We prove that the existence of generic polynomials and generic extensions are equivalent over an infinite field.

Generic Polynomials with Few Parameters
✍ Gregor Kemper; Elena Mattig πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 335 KB

We call a polynomial g(t 1 , . . . , tm, X) over a field K generic for a group G if it has Galois group G as a polynomial in X, and if every Galois field extension N/L with K βŠ† L and Gal(N/L) ≀ G arises as the splitting field of a suitable specialization g(Ξ» 1 , . . . , Ξ»m, X) with Ξ» i ∈ L. We discu

Test complexity of generic polynomials
✍ Peter BΓΌrgisser; Thomas Lickteig; Michael Shub πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 595 KB
General identities on Bell polynomials
✍ Weiping Wang; Tianming Wang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 796 KB

The exponential partial Bell polynomials are polynomials in an infinite number of variables x 1 , x 2 , . . . , and it is well-known that some special combinatorial sequences, e.g., Stirling numbers of both kinds, Lah numbers and idempotent numbers, can be obtained from the Bell polynomials. In this