金桌活画面
发表于 2025-3-25 03:53:47
,Hilbert’s Irreducibility Theorem,Hilbert’s irreducibility theorem has quite a large number of proofs, based on different principles; some give precise estimates for the number of integers that one seeks. There are several applications: the construction of elliptic curves over . having rank ≥ 9 and the construction of extensions of . with Galois groups. .., ..,...
飞来飞去真休
发表于 2025-3-25 10:04:20
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思想上升
发表于 2025-3-25 12:23:30
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Offset
发表于 2025-3-25 16:45:24
The Large Sieve,Let . be a thin set in Z., and .. the intersection of . with the ball of diameter . centred at the origin. When . = 1 we have seen in §9.7 (as a consequence of Siegel’s theorem) that |..| = ..) when . → ∞. To prove a similar result when . ≥ 2 one needs a different method, based on the large sieve inequality (cf. ).
Aspiration
发表于 2025-3-25 20:08:04
978-3-528-08968-9Springer Fachmedien Wiesbaden 1989
药物
发表于 2025-3-26 04:01:08
Lectures on the Mordell-Weil Theorem978-3-663-14060-3Series ISSN 0179-2156
遗传
发表于 2025-3-26 06:15:59
0179-2156 Overview: 978-3-528-08968-9978-3-663-14060-3Series ISSN 0179-2156
妨碍议事
发表于 2025-3-26 10:29:31
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询问
发表于 2025-3-26 16:17:31
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STERN
发表于 2025-3-26 19:33:08
Summary,where they introduced the, nowadays natural, viewpoint of algebraic geometry: if . and . are two birationally equivalent algebraic curves over . in .., their rational points correspond. Hence the importance of birational invariants, in particular the genus. They studied especially the case of genus zero: