Arithmetic statistics for the Fine Selmer group in Iwasawa theory
Anwesh Ray, R. Sujatha
TL;DR
This paper investigates the statistical behavior of Iwasawa invariants related to fine Selmer groups of elliptic curves, providing insights into their distribution and properties within number theory.
Contribution
It introduces new statistical methods to analyze Iwasawa invariants of fine Selmer groups in the context of elliptic curves.
Findings
Distribution patterns of Iwasawa invariants identified
Relationships between invariants and elliptic curve properties established
Potential implications for conjectures in Iwasawa theory
Abstract
We study arithmetic statistics for Iwasawa invariants for fine Selmer groups associated to elliptic curves.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Historical Studies and Socio-cultural Analysis