Statistics for Iwasawa invariants of elliptic curves
Debanjana Kundu, Anwesh Ray
TL;DR
This paper investigates the average behavior of Iwasawa invariants associated with elliptic curves' Selmer groups, advancing understanding in arithmetic statistics and Iwasawa theory.
Contribution
It introduces new insights into the statistical properties of Iwasawa invariants for elliptic curves, linking arithmetic statistics with Iwasawa theory.
Findings
Average Iwasawa invariants computed for families of elliptic curves
New theoretical connections established between Selmer groups and Iwasawa invariants
Proposed directions for future research in arithmetic statistics
Abstract
We study the average behaviour of the Iwasawa invariants for the Selmer groups of elliptic curves, setting out new directions in arithmetic statistics and Iwasawa theory.
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