One- and Two-Variable $p$-adic Measures in Iwasawa Theory

abstract: In 1984, Sinnott used $p$-adic measures on $\mathbb{Z}_p$ to give a new proof of the Ferrero-Washington Theorem for abelian number fields by realizing $p$-adic $L$-functions as (essentially) the $Gamma$-transform of certain $p$-adic rational function measures. Shortly afterward, Gillard a...

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Bibliographic Details
Other Authors: Zinzer, Scott (Author)
Format: Doctoral Thesis
Language:English
Published: 2015
Subjects:
Online Access:http://hdl.handle.net/2286/R.I.29709