生气的边缘 发表于 2025-3-23 13:02:39

Anhedonia in Nicotine DependenceWe shall now study Iwasawa’s theory concerning projective limits in Z.-extensions.

换话题 发表于 2025-3-23 15:58:48

David G. Gilbert,Bryant M. StoneIn the last chapter we studied the ideal class groups in a Z.-extension of a number field. Here we shall consider especially the cyclotomic Z.-extension, and then Kummer extensions above it, as in Iwasawa , obtained by adjoining .th roots of units, .-units, and ideal classes of .-power order.

澄清 发表于 2025-3-23 18:54:21

Character Sums,Character sums occur all over the place in many different roles. In this chapter they will be used at once to represent certain principal ideals, thus giving rise to annihilators in a group ring for ideal classes in cyclotomic fields.

blithe 发表于 2025-3-24 01:44:11

Complex Analytic Class Number Formulas,The complex analytic class number formulas date back to the 19th century. They relate class numbers of cyclotomic fields and units. They arise by factoring the zeta function of a cyclotomic field in .-series, and looking at the factorization of the residue.

注视 发表于 2025-3-24 03:11:05

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BLAZE 发表于 2025-3-24 08:23:51

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新字 发表于 2025-3-24 11:42:58

https://doi.org/10.1007/978-1-4612-9945-5Fields; Kreiskörper; Prime; algebra; finite field; homomorphism; number theory

不在灌木丛中 发表于 2025-3-24 16:33:47

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Communicate 发表于 2025-3-24 21:06:56

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Meager 发表于 2025-3-25 02:08:41

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查看完整版本: Titlebook: Cyclotomic Fields; Serge Lang Textbook 1978 Springer-Verlag, New York Inc. 1978 Fields.Kreiskörper.Prime.algebra.finite field.homomorphism