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

生气的边缘

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

换话题

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 [Iw 12], obtained by adjoining .th roots of units, .-units, and ideal classes of .-power order.

澄清

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

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.

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新字

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

不在灌木丛中

Communicate

Meager