Polynomials with special regard to reducibility /
This book covers most of the known results on reducibility of polynomials over arbitrary fields, algebraically closed fields and finitely generated fields. Results valid only over finite fields, local fields or the rational field are not covered here, but several theorems on reducibility of polynomi...
| מחבר ראשי: | |
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| פורמט: | Licensed eBooks |
| שפה: | אנגלית |
| יצא לאור: |
Cambridge ; New York :
Cambridge University Press,
2000.
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| סדרה: | Encyclopedia of mathematics and its applications ;
v. 77. |
| גישה מקוונת: | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=73442 |
תוכן הענינים:
- 1. Arbitrary polynomials over an arbitrary field
- 2. Lacunary polynomials over an arbitrary field
- 3. Polynomials over an algebraically closed field
- 4. Polynomials over a finitely generated field
- 5. Polynomials over a number field
- 6. Polynomials over a Kroneckerian field
- App. A. Algebraic functions of one variable
- App. B. Elimination theory
- App. C. Permutation groups and abstract groups
- App. D. Diophantine equations
- App. E. Matrices and lattices
- App. F. Finite fields and congruences
- App. G. Analysis
- App. I. Inequalities
- App. J. Distribution of primes
- App. K. Convexity
- App. Proof of Conjecture 1 / Umberto Zannier.