Davenport H. — Analytic methods for Diophantine equations and Diophantine inequalities :: Электронная библиотека попечительского совета мехмата МГУ

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Davenport H. — Analytic methods for Diophantine equations and Diophantine inequalities

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Название: Analytic methods for Diophantine equations and Diophantine inequalities

Автор: Davenport H.

Аннотация:

Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities.

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Рубрика: Математика/Теория чисел/

Статус предметного указателя: Готов указатель с номерами страниц

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Год издания: 2004

Количество страниц: 135

Добавлена в каталог: 03.06.2005

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Предметный указатель

      viii
$G_{asymp}(k)$       xvi
$G_{ineq}(k)$       xv
      3
$\Gamma(k)$       viii 30
Additive problem      1
Affine transformation      74
Algebraic variety      91
Artin's conjecture      x
Ax      xi
Baker      xv
Bentkus      xv
Bilinear form      xi 84
Birch      xi xiii xiv 66 68 115 126
Boklan      vii
Brauer      x 66 115
Briklern      xv
Cassels      73
CHARACTER      31
Chevalley      109
Chowla      30 119
Complete exponential sums      xiii
Completing the square      65
Cone      47
Congruence condition      40 47
Convex body      74
Cook      xv
Cubic forms      xi 83
Danicic      125
Davenport      vii—ix xi xiii—xv 5 47 56 83 119 125 126
Degenerate      66
Deligne      xiii
density      22
Diagonal      117
DIMENSION      91
Diophantine approximation      16
Diophantine inequality      xiii 119
Dirichlct      16 21
Divisor function      10
Equations, additive hoinogencoiis      43 61
Equations, additive non-homogcncoiis      1 3 37
Equations, bilinear      89
Equations, cubic      66 83 114
Equations, general homogeneous      65
Equations, system of      66 115
Eskin      xvi
Estermann      xv
Euler's integral      21
Ford      viii
FORM      65
Fourier's integral theorem      21 22
Freeman      xv xvi
g(k)      3
Gauss sum      32
Generating function      4
Geometry of numbers      73
Goetze      xv
Goldbach's ternary problem      1
H(C)      107
Hardy      1 3 7 30 35 55
Hardy — Littlewood asymptotic formula      xii
Hasse — Minkowski theorem      x
Heath — Brown      viii xii
Heilbronn      vii xiii 49 119
hessian      89
hilbert      3
Hna      vii
Hooley      viii xii xiii
Hua's inequality      11

Hurwitz      3
Jarnik      xv
Kestehnan      22
Kloosterman's refinement      xiii
Kochen      xi
Landau      22
Lattice      73
Lattice, adjoint      78
Lattice, basis      73
Lattice, density      73
Lattice, determinant      73
Lattice, polar      78
Lattice, successive minima      74
Leep      xi
Lewis      ix xv 47 66
Linear forms      73
Linnik      viii 5
Littlewood      1 3 7 30 35 55
Local-to-global principle      x xii
Major arc      15
Maliler      78
Margulis      xiv xvi
Mean value theorem      51
Meyer's theorem      65 119
Minkowski      74 75
Minor arc      15
Mordell      83
Mozes      xvi
Nadesalingam      xv
Non-degenerate      66
Non-singular solution      99
Norm form      83
Oppenheim      119 126
Oppenheim's conjecture      xiv 119
p-adic condition      x
Partitio Numerorum      3
Partitions      1
Pitman      xiv xv 126
Pleasants      xii
Poisson summation formula      xiii
Primitive root      27
Property $A(p^\ell)$       105
Radeinacher      1
Raghaven      xv
Rainanujan      1
Ridout      xiv 126
Riemann hypothesis      viii xiii
Roth      xv 125
Schmidt      xii xiv
Selmer's example      x 115
Singular integral      20 43 99
Singular locus      xiii 116 118
Singular series      ix 3 19 23 38 44 103
Solubility of cubic forms      xi 83 114 115
Successive minima      74
Swinnerton — Dyer      115
Terjanian      x
Unimodular      73
van der Corput's lemma      50
Vaughan      viii
Vinogradov      vii 4 5 11 22 30 49 56
Vinogradov symbol      7
Walfisz      xv
Waring      3
Waring's problem      vii xv 1
Watson      viii
Weyl's inequality      7 84
Wooley      viii xi xv xvi
Yeoman      xi

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