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On local and global bounds for Iwasawa λ-invariants
- Source :
- Journal of Number Theory. 223:195-228
- Publication Year :
- 2021
- Publisher :
- Elsevier BV, 2021.
-
Abstract
- It is an open problem whether the Iwasawa λ-invariants of the Z p -extensions of a fixed number field are bounded. Using the class-field theoretic tool of logarithmic class groups, we obtain bounds for the λ-invariants of Z p -extensions of suitable field extensions of imaginary quadratic number fields. We also prove the Gross-Kuz'min Conjecture for certain families of non-cyclotomic Z p -extensions.
Details
- ISSN :
- 0022314X
- Volume :
- 223
- Database :
- OpenAIRE
- Journal :
- Journal of Number Theory
- Accession number :
- edsair.doi...........6a01ebc3e6242151f41a92fc9dda3ceb