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Iwasawa theory is a branch of number theory that studies the behavior of certain objects associated to a $\mathbb{Z}_p$-extension. We will focus our attention to the cyclotomic $\mathbb{Z}_p$-extensions of imaginary quadratic fields for varying primes p, and will give

Iwasawa theory is a branch of number theory that studies the behavior of certain objects associated to a $\mathbb{Z}_p$-extension. We will focus our attention to the cyclotomic $\mathbb{Z}_p$-extensions of imaginary quadratic fields for varying primes p, and will give some conditions for when the corresponding lambda-invariants are greater than 1.
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    Title
    • On Criteria for Large Cyclotomic $\lambda$-invariants for Imaginary Quadratic Fields
    Contributors
    Date Created
    2023
    Resource Type
  • Text
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    Note
    • Partial requirement for: Ph.D., Arizona State University, 2023
    • Field of study: Mathematics

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