
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Document Type
Article
Publication Date
2024
Abstract
This paper studies Iwasawa invariants in anti-cyclotomic towers. We do this by proposing two heuristics supported by computations. First we propose the Intersection Heuristics: these model “how often” the p-Hilbert class field of an imaginary quadratic field intersects the anti-cyclotomic tower and to what extent. Second we propose the Invariants Heuristics: these predict that the Iwasawa invariants 𝜆 and 𝜇 usually vanish for imaginary quadratic fields where p is non-split.
Recommended Citation
Kundu, Debanjana, and Lawrence C. Washington. "Heuristics for Anti-cyclotomic ℤ p-extensions." Experimental Mathematics 33, no. 4 (2024): 644-662. https://doi.org/10.1080/10586458.2023.2221866
Publication Title
Experimental Mathematics
DOI
https://doi.org/10.1080/10586458.2023.2221866
Comments
Original published version available at https://doi.org/10.1080/10586458.2023.2221866