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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.

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    Date Created
    2015
    Resource Type
  • Text
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    Note
    • Partial requirement for: Ph.D., Arizona State University, 2015
      Note type
      thesis
    • Includes bibliographical references (pages 156-160)
      Note type
      bibliography
    • Field of study: Mathematics

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    by Scott Michael Zinzer

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