Description
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.
Details
Title
- On Criteria for Large Cyclotomic $\lambda$-invariants for Imaginary Quadratic Fields
Contributors
- Stokes, Christopher Mathewson (Author)
- Childress, Nancy (Thesis advisor)
- Sprung, Florian (Committee member)
- Montaño, Johnathan (Committee member)
- Paupert, Julian (Committee member)
- Kaliszewski, Steven (Committee member)
- Arizona State University (Publisher)
Date Created
The date the item was original created (prior to any relationship with the ASU Digital Repositories.)
2023
Resource Type
Collections this item is in
Note
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Partial requirement for: Ph.D., Arizona State University, 2023
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Field of study: Mathematics