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Statistics for anticyclotomic Iwasawa invariants of elliptic curves

  • Jeffrey Hatley,
  • Debanjana Kundu,
  • Anwesh Ray

摘要

We study the average behaviour of the Iwasawa invariants for Selmer groups of elliptic curves, considered over anticyclotomic \(\mathbb {Z}_p\) Z p -extensions in both the definite and indefinite settings. The results in this paper lie at the intersection of arithmetic statistics and Iwasawa theory.