Cohn H. — Advanced Number Theory :: Электронная библиотека попечительского совета мехмата МГУ

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Cohn H. — Advanced Number Theory

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Название: Advanced Number Theory

Автор: Cohn H.

Аннотация:

Eminent mathematician, teacher approaches algebraic number theory from historical standpoint. Demonstrates how concepts, definitions, theories have evolved during last 2 centuries. Abounds with numerical examples, over 200 problems, many concrete, specific theorems. Numerous graphs, tables.

Язык:

Рубрика: Математика/Теория чисел/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1962

Количество страниц: 275

Добавлена в каталог: 28.11.2004

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

Предметный указатель

Algebraic integer      50
Algebraic number      5 49 231
Ambiguous ideal      189
Archimedes      110
Artin      242
Ascending chain condition      118
Associate      94
Bachmann,      183
Basis of ideal      118
Basis of module      41
Basis of quadratic integers      45 48
Canonical basis      67
CHARACTER      22
Chevalley      242
Chinese remainder theorem      11 134
Class field      234
Class of ideals      134
composition      212
Conductor      35
Congruence class      9
Conjugate ideals      115
Conjugate numbers      40
Coset      16
Cubic field      49
Cyclic group      16
Cyclotomic field      112 232
Davenport      89 109
Decomposition of group      16
Dedekind      5 94 113 241
Dedekind’s definition of integer      42
Definite form      40
Different      72
Dimensionality      55
Dirichlet      6 37 54 111 159 219 234
Discreteness      55
Discriminant      39 51 72
Division algorithm      10
Duplication theorem      227
Elementary divisor      78
Euclidean algorithm      10 104
Euler      1
Euler factorization      167
Euler function      12 145
Fermat      2 5
Fermat — Euler theorem      12
Field      44
Field discriminant      73
Fueter      220
Fundamental discriminant      73
Fundamental unit      99
Gauss      2 42 88 151 227
Gaussian sum      232
Gauss’s Lemma      43
Generator      16
Genus of forms      224
Genus of ideals      226 229
Geometric number theory      85
Geometry of numbers      85
Hasse      35 149
Heilbronn      151
hermite      81
hilbert      2 43 228
Hurwitz      128
Ideal      114
Ideal density      161 163
Indecomposable      94
Indefinite form      40
Index of residue class      12
Index of sublattice      69
Integral domain      47
Jacobi symbol      20 32
Korkine      88

Kronecker’s symbol      35 193
Kronecker’s theorem      81
Kummer      5 93 183
L-series      174 181
Lagrange      15 88
Landau      85
Lattice      55
Lattice points in ellipse      160
Legendre symbol      18
Legendre’s theorem      227 238
Lehmer      151
Linear dependence      55
Linfoot      151
Mahler      89
Maximal ideal      130
Minimal basis      41
Minkowski      85 135 137
Module      41
Modulus      9
Mordell      89
Norm in lattice      56
Norm of ideal      131
Norm of integer      40
Order      49 130 216
Order of element      16
Order of group      15
Ordered basis      196
Orthogonality      27
Pall      227
Pell equation      110
Primary factor      10
Primary number      146
Prime      10 94
Prime ideal      121
Primitive form      200
Primitive ideal      200
Primitive root      12
Principal ideal      116
Proper equivalence      199
Proper representation      199
Quadratic integer      42
Quadratic reciprocity      19
Rational integer      43
Real character      36
Reduced residue class      12
Relative fields      50 231 235
Relatively prime      10
Residue class      10
Resolution modulus      28
Riemann      44 241
Ring      47
Seeber      88
Set theory      113
smith      81
span      55
Square-free kernel      33
Strict equivalence class      197
Strictly unimodular      67
Subgroup      15
Sublattice      57
Submodule      41
Surd      40
Takagi      237
Unimodular      67
Unique factorization      10 94 123 230
UNIT      94 112
Unit ideal      117
Vector      14 41
Vector index      14
Weber      179 220 241
Zolataref      88
Zone      105

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