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An extension of a result of Zaharescu on irreducible polynomials

✍ Scribed by Sudesh K. Khanduja; Ramneek Khassa

Book ID
107690504
Publisher
Indian National Science Academy
Year
2010
Tongue
English
Weight
124 KB
Volume
41
Category
Article
ISSN
0019-5588

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πŸ“œ SIMILAR VOLUMES

On the Structure of the Irreducible Poly
On the Structure of the Irreducible Polynomials Over Local Fields
✍ N. Popescu; A. Zaharescu πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 695 KB

The paper is concerned with the structure of irreducible polynomials in one variable over a local field \((K, v)\). The main achievement is the definition of a system \(P(f)\) of invariant factors for each monic irreducible polynomial \(f \in K[X]\). It is proved that these invariants are characteri

An extension of a result of SierpiΕ„ski
An extension of a result of SierpiΕ„ski
✍ M.A. Nyblom πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 231 KB

As an application of Roth's theorem concerning the rational approximation of algebraic numbers, two sufficiency conditions are derived for an alternating series of rational terms to converge to a transcendental number. The first of these conditions represents an extension of an earlier condition of