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Arkhipov G.I., Chubarikov V.N., Karatsuba A.A. — Trigonometric Sums in Number Theory and Analysis
Arkhipov G.I., Chubarikov V.N., Karatsuba A.A. — Trigonometric Sums in Number Theory and Analysis

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Название: Trigonometric Sums in Number Theory and Analysis

Авторы: Arkhipov G.I., Chubarikov V.N., Karatsuba A.A.

Язык: en

Рубрика: Математика/

Серия: Сделано в холле, Посвящена 60-летию Владимира Николаевича Чубарикова

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 554

Добавлена в каталог: 05.09.2011

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absolute convergence exponent of singular integral      114
Absolute convergence exponent of singular series      114
Accuracy of estimate for multiple trigonometric integral      34
Accuracy of estimate in the mean value theorem      178
Analog of Bertrand postulate (Chebyshev theorem)      104
Analog of Waring's problem for congruences      97
Artin problem of representing zero by a form      361
Asymptotic formula for the mean value of multiple integral      312
Asymptotic formula for the mean value of multiple trigonometric sum      210
Cauchy's inequality      537
Complete rational multiple trigonometric sum      73
Complete rational trigonometric sum modulo q      48
Complete system of equations      20 146
Convergence exponent for singular integrals in multidimensional problems      47
Convergence exponent of improper integral      20
Dirichlet theorem      236
Essentially singular point      133
Estimate for double trigonometric sums      271
Estimate for the Hardy — Littlewood function G(n)      94
Estimates for multiple trigonometric sums      181 200 311
Estimates of special trigonometric sums on small arcs      385
First main lemma      240
Fundamental lemma      155
Fundamental recursive inequality in p-adic method      104
Hilbert — Kamke problem      316
Incomplete system of equations      20 146
Jagged polynomial      66
Joint distributions of fractional parts of several polynomials      228 233
Lemma on the number of solutions of a complete system of congruences      148 150
Lemma on the recurrence inequality      172
Linnik's lemma      104
Mean value of complete rational trigonometric sum      59 77
Mean value theorem for multiple trigonometric sums of general form      167 174
Mean value theorem for r-fold trigonometric sum      144 163
Modulus belonging to a point      133
Multidimensional additive problem      353
Multiple trigonometric integrals      30
Multiple trigonometric sums      1
Multiple trigonometric sums with summation domains of special form      218
Multiplicity of intersection of domains      81
p-adic method      2
p-adic proof of Vinogradov's theorem on estimating G(n) in the Waring problem      378
Recurrence inequality      169
Regular point      133
Second main lemma      289
Set of vectors regular modulo q      146 147
Set of vectors singular modulo q      146 147
Simplest properties of Weyl's sum      79
Simplified estimate in Vinogradov's mean value theorem      132
Singular integral in Tarry's problem      20
Singular integral in the Hilbert — Kamke problem      114 317
Singular integrals in multidimensional problems      43
Singular point      133
Singular series in multidimensional problems      77
Singular series in Tarry's problem      20 60
Singular series in the Hilbert — Kamke problem      114 317
Tarry's problem      20
Tartakovskii lemma      134
Theorems on multiplicity of intersection of multidimensional regions      181 191
Trigonometric integrals      3 6
U-numbers      389
V-numbers      379
van der Korput's lemma      537
Vectors corresponding to a matrix      146
Vinogradov's estimate of Weyl's sum      92
Vinogradov's integral      80
Vinogradov's lemma on "cups"      537
Vinogradov's lemma on the "number of hits"      85
Vinogradov's mean value theorem      4 85 88
Vinogradov's mean value theorem, Linnik's p-adic proof      133
Vinogradov's mean value theorem, p-adic proof      104 112
Vinogradov's method      79
Weil estimate      59
Weyl sums      1 79
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