无能力之人 发表于 2025-3-23 12:22:18
Root Number Values, from the fact that the root numbers provide a full set of invariants for stable Galois module structure of rings of integers, and also from the implications on zeros of Dedekind zeta functions at . = 1/2. For this see the remark in I §1.合同 发表于 2025-3-23 15:03:43
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http://reply.papertrans.cn/39/3805/380419/380419_14.png不知疲倦 发表于 2025-3-24 05:20:09
Classgroups and Determinants,r . is a number field, O its ring of algebraic integers, . a finite group and 21 an o-order in .. With appropriate changes (specifically replacing . by a certain Grothendieck group) the contents of this section apply equally well to any arbitrary semisimple finite dimensional algebra in place of . but we shall avoid such unnecessary generality.祖先 发表于 2025-3-24 06:32:50
Introduction,h in the last ten to twelve years, acquiring mathematical depth and significance and leading to new insights also in other branches of algebraic number theory. The decisive take-off point was the discovery of its connection with Artin .-functions. We shall concentrate on the topic which has been at门窗的侧柱 发表于 2025-3-24 10:57:09
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Classgroups and Determinants,kground see note . There are three basic steps involved. The first leads to a K-theoretic interpretation of the class group, in terms of an exact sequence. We state the relevant definitions and results, but will not prove them — for a detailed discussion see e.g., (Chap. 1). The second step事情 发表于 2025-3-24 19:57:12
http://reply.papertrans.cn/39/3805/380419/380419_19.png朴素 发表于 2025-3-25 00:49:29
Root Number Values,s on the possible distributions of root number values and on the densities of such distributions. The interest in this type of problem comes of course from the fact that the root numbers provide a full set of invariants for stable Galois module structure of rings of integers, and also from the impli