Schinzel A. — Polynomials with Special Regard to Reducibility :: Электронная библиотека попечительского совета мехмата МГУ

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Schinzel A. — Polynomials with Special Regard to Reducibility

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Название: Polynomials with Special Regard to Reducibility

Автор: Schinzel A.

Аннотация:

This book covers most of the known results on reducibility of polynomials.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 558

Добавлена в каталог: 29.11.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

1-form      205
1-form, closed      205
Affine coordinate ring      518
Algebraic point      522
Basis of a lattice      502
Block of a permutation group      495
Block of imprimitivity      495
Blocks conjugate      495
Class $\mathcal{C}_{0}$ , $\mathcal{C}_{1}$ , $\mathcal{C}_{2}$ , $\mathcal{C}_{3}$       316
Codimension of a variety      518
Coefficient vector of a form      492
Content of a polynomial      9
Convex hull of a set      512
Convex set      512
Convex span of points      512
Curve      518
Decompositions equivalent      21
Degree of a permutation group      495
Degree of a variety      519
Denominator of an element of a function field      485
Determinant of a lattice      502
Dickson's polynomials      24
Dickson's polynomials of the second kind      162
Differential      205
Differential, closed      205
Dimension of a convex set      512
Dimension of a variety      518
Divisor of a function field      485
Edges of a polytrope      513
Extension, Bauerian      368
Extension, primitive      20
Extreme points      513
Face of a convex set      512
Face of a convex set, exposed      513
Field of rational functions on X      518
Field, arithmetically semi-finite      314
Field, Hilbertian      298 312
Field, Kroneckerian      5 390
Field, separably Hilbertian      314
FORM      10
Form, non-singular      10
Form, singular      10
Frobenius substitution      16
Fundamental domain of a lattice      520
Generalized Bezout theorem      519
Genus of a curve      488
Genus of a function field      485
Height of a polynomial      212
Hensel's lemma      484
Hilbert's irreducibility theorem      4 298 312
Hypersurface      518
Irreducible component of a variety      518
Kernel of a polynomial      278
Kronecker's substitution      58
Lattice in $\mathbb{R}^{n}$       502
Lattice in $\mathbb{R}^{n}$ , full      502
Lattice in $\mathbb{R}^{n}$ , orthogonal to a given one      521
Lattice in $\mathbb{R}^{n}$ , primitive      520
Laurent polynomial      88
Laurent polynomial, extreme-monic      253
Leading coefficient of a polynomial      9
Length of a polynomial      212
Local parameter of a prime ideal      481
Mahler's measure of a polynomial      224
Matrix associated with a polynomial      88
Newton polytope of a polynomial      88
Numerator of an element of a function field      485
Orbit of a permutation group      495
Permutation group, doubly transitive      495
Permutation group, imprimitive      495
Permutation group, intransitive      495
Permutation group, primitive      495

Permutation group, regular      496
Permutation group, transitive      495
Polynomial, additive      65
Polynomial, bireciprocal      419
Polynomial, complete      59 196
Polynomial, complete indeterminate      201
Polynomial, cyclotomic      263
Polynomial, cyclotomic over a given field      263
Polynomial, extended cyclotomic over a field      263
Polynomial, indecomposable      2 20
Polynomial, integral      59
Polynomial, isobaric      188
Polynomial, monic      9
Polynomial, primary      112
Polynomial, prime      2
Polynomial, primitive      9
Polynomial, reciprocal      391
Polynomial, self-inversive      5 391
Polynomial, tame      52
Polynomial, uniform over an interval      236
Polynomials equivalent      112
Polytope in $\mathbb{R}^{n}$       513
Prime divisor      481
Prime divisor, totally ramified      482
Prime divisor, unramified      482
Product formula      522
Projective closure of an affine variety      519
Ramification index of a prime divisor      482
Rank of a lattice      502
Residue class in $\mathbb{Z}^{r}$       316
Residue field degree of a prime divisor      482
Resultant of a system of forms      493
Set arithmetically dense in a residue class      3
Stability subgroup of a permutation group (stabilizer of a letter)      495
Subtorus      520
Supporting hyperplane of a convex set      512
Term extreme      88
Terms opposite      88
Theorem, Bertini      217
Theorem, Bezout (generalized)      519
Theorem, Capelli      92
Theorem, Gauss      498
Theorem, Geyer      70
Theorem, Gordan — Igusa      15
Theorem, Gourin (extended)      110
Theorem, Gourin (refined)      263
Theorem, Hilbert (refined)      298
Theorem, Hilbert (simplified)      4
Theorem, Kneser      92
Theorem, Kronecker      59
Theorem, Kronecker $\&$ Kneser      62
Theorem, Lueroth      13
Theorem, Noether      12 16 201 204
Theorem, Northcott      523
Theorem, Ritt      51
Theorem, Ritt (first)      21
Theorem, Ritt (second)      24
Theorem, Ruppert      204 213
Theorem, Salomon      215
Theorem, Uchida      313
Theorem, Wojcik      263
Torsion point      521
Variety in affine space      517
Variety in affine space in projective space      519
Variety in affine space, defined over k      518
Variety in affine space, general linear      519
Variety in affine space, pure dimensional      519
Vertices of a polytope      513
Vertices of a polytope, opposite      514
Volume of a lattice      520
Weil height of an algebraic number      522
Weil height, logarithmic Weil height      522
Zariski topology      518

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