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

conspicuous

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Textbook 1978se Galois group is isomorphic to the additive group of p-adic integers. Leopoldt concentrated on a fixed cyclotomic field, and established various p-adic analogues of the classical complex analytic class number formulas. In particular, this led him to introduce, with Kubota, p-adic analogues of the

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0072-5285 arious p-adic analogues of the classical complex analytic class number formulas. In particular, this led him to introduce, with Kubota, p-adic analogues of the 978-1-4612-9947-9978-1-4612-9945-5Series ISSN 0072-5285 Series E-ISSN 2197-5612

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Stickelberger Ideals and Bernoulli Distributions,), of higher .-groups (Coates-Sinnott [Co 1], [Co 2], [C-S]) has led to purely algebraic theorems concerned with group rings and certain ideals, formed with Bernoulli numbers (somewhat generalized, as by Leopoldt). Such ideals happen to annihilate these groups, but in many cases it is still conjectu

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The ,-adic ,-function,more convenient as a basic definition, than Iwasawa’s previous formulation in terms of power series. The connection is made via Example 2 of §1. We derive further analytic properties, which allow us to make explicit its value at . = 1, thereby obtaining Leopoldt’s formula in the .-adic case, analogo

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