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The Iwasawa \(\lambda{}_ p\)-invariants of \(\Gamma\)-transforms of the generating functions of the Bernoulli numbers. (English) Zbl 0739.11047

We quote the author’s words: “We give an elementary proof of Kida’s formula on Hurwitz-type relations of cyclotomic \(\lambda_ p\)-invariants of abelian number fields, using the theory of \(\Gamma\)-transforms of rational functions. Our proof will be carried out only in terms of rational functions”.

MSC:

11R23 Iwasawa theory
11R20 Other abelian and metabelian extensions
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