Statistics for Iwasawa invariants of elliptic curves, II

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Abstract

We study the average behavior of the Iwasawa invariants for Selmer groups of elliptic curves. These results lie at the intersection of arithmetic statistics and Iwasawa theory. We obtain lower bounds for the density of rational elliptic curves with prescribed Iwasawa invariants.

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Kundu, D., & Ray, A. (2024). Statistics for Iwasawa invariants of elliptic curves, II. International Journal of Number Theory, 20(4), 1099–1124. https://doi.org/10.1142/S1793042124500556

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