Diophantine equations: Diophantine EquationsAcademic Press, 1969 - 311 頁 Diophantine Equations |
內容
1 | |
3 | |
12 | |
16 | |
Chapter 5 Some Linear Equations | 30 |
Chapter 6 Properties of Congruences | 34 |
Chapter 7 Homogeneous Equations of the Second Degree | 42 |
Chapter 8 Pells Equation | 53 |
Chapter 18 Representation of Numbers by Homogeneous Forms in Two Variables | 157 |
Chapter 19 Representation of Numbers by Special Binary Quadratic and Quaternary Quadratic Forms | 164 |
Chapter 20 Representation of Numbers by Homogeneous Forms in Several Variables | 174 |
Chapter 21 Representation of Numbers by Polynomials | 181 |
Chapter 22 Thues Theorem on the Integer Solutions of fx y m | 186 |
Chapter 23 Local Methods or pAdic Applications | 200 |
Chapter 24 Binary Cubic Forms | 213 |
Chapter 25 Binary Quartic Forms | 232 |
Chapter 9 Rational Solutions Derived from Given Ones | 66 |
Chapter 10 Rational Points on Some Cubic Curves | 76 |
Chapter 11 Rational Points on Cubic Surfaces | 82 |
Chapter 12 Rational and Integer Points on Quartic Surfaces | 90 |
Chapter 13 Integer Solutions of Some Cubic Equations in Three Variables | 100 |
Chapter 14 Simple Algebraic Considerations | 111 |
Chapter 15 Applications of Algebraic Number Theory | 121 |
Chapter 16 Finite Basis Theorem for the Rational Points on a Cubic Curve fx y z 0 of Genus one | 138 |
Chapter 17 Rational Points on Curves of Genus g 0 or 1 and g 1 | 150 |
Chapter 26 The Equation y2 x3 + k | 238 |
Chapter 27 The equation y2 ax3 + bx2 + cx + d | 255 |
Chapter 28 Some Equations of Degree 3 | 262 |
Chapter 29 Fermats Last Theorem | 280 |
Chapter 30 Miscellaneous Results | 287 |
Bibiography | 306 |
List of Equations and Congruences | 307 |
Pure and Applied Mathematics | 313 |
常見字詞
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