小费
发表于 2025-3-21 18:03:07
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Grasping
发表于 2025-3-21 20:29:09
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objection
发表于 2025-3-22 01:29:22
Algebraic Number Fields,eek the integer solutions of (4.1). If . < 0, these solutions are (±1,0) for . < −1 and (±1,0), (0, ±1) for . = −1. However, if . > 1, it is a nontrivial fact that (4.1) has infinitely many solutions in integers. If we let . denote the set of these solutions, then . has a group structure (cf. Exerci
diskitis
发表于 2025-3-22 07:47:01
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projectile
发表于 2025-3-22 11:15:14
Computation of the Mordell-Weil Group,.., .. is of finite order, ..,..., .. cannot be independent. For any elliptic curve . defined over ℚ the group .(ℚ) of rational points on . is finitely generated. The (.) ...(.) of . is defined to be the maximum number of independent elements in .(ℚ). In particular, ..(.) = 0 if and only if .(ℚ) is
机警
发表于 2025-3-22 13:56:05
Book 1988intended to be an introduction to the theory of numbers. The audience consisted largely of undergraduate students with no more background than high school mathematics. The presentation was thus kept as elementary and self-contained as possible. However, because the discussion was, generally, carried
节省
发表于 2025-3-22 18:27:32
Basic Properties of the Integers,The most fundamental concept in the study of the integers is that of divisibility.
Contort
发表于 2025-3-22 22:39:16
Algebraic Methods,There are concepts in number theory that are best expressed in the language of algebra. We shall discuss algebra only to the extent needed for our purpose.
五行打油诗
发表于 2025-3-23 01:25:30
Representation of Integers by Forms,The squares (of integers), namely.are very sparse.
Accrue
发表于 2025-3-23 06:10:30
Algebraic Curves,So far we have considered only equations of degree at most 2. Because of the group structure on the integer solutions of .. − .. = 1, we were able to employ algebraic methods to find these solutions. Let us now take, as an example, the diophantine equation..