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math.NT2012★ 3 cited
Generalizations of Iwasawa's 'Riemann-Hurwitz' Formula for Cyclic p-Extensions of Number Fields
Jordan Schettler
We produce generalizations of Iwasawa's `Riemann-Hurwitz' formula for number fields. These generalizations apply to cyclic extensions of number fields of degree p^n for any positiv…
math.NT2012
An Alternative Proof and Generalization of Ferrero's Computations of Iwasawa λ-Invariants
Jordan Schettler
We prove a slight generalization of Iwasawa's `Riemann-Hurwitz' formula for number fields and use it to generalize Ferrero's and Kida's well-known computations of Iwasawa λ-invaria…