Geodesic
Arithmetic statistics and noncommutative Iwasawa theory
Documenta mathematica, Tome 27 (2022), pp. 89-149 Cet article a éte moissonné depuis la source EMS Press

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Let p be an odd prime. Associated to a pair (E,F∞​) consisting of a rational elliptic curve E and a p-adic Lie extension F∞​ of Q, is the p-primary Selmer group Selp∞​(E/F∞​) of E over F∞​. In this paper, we study the arithmetic statistics for the algebraic structure of this Selmer group. The results provide insights into the asymptotics for the growth of Mordell-Weil ranks of elliptic curves in noncommutative towers.
DOI : 10.4171/dm/867
Classification : 11G05, 11R23
Mots-clés : Selmer groups, Euler characteristics, arithmetic statistics, noncommutative Iwasawa theory, Akashi series, growth of Mordell-Weil ranks 
@article{10_4171_dm_867,
     author = {Debanjana Kundu and Anwesh Ray and Antonio Lei},
     title = {Arithmetic statistics and noncommutative {Iwasawa} theory},
     journal = {Documenta mathematica},
     pages = {89--149},
     year = {2022},
     volume = {27},
     doi = {10.4171/dm/867},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/867/}
}
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Debanjana Kundu; Anwesh Ray; Antonio Lei. Arithmetic statistics and noncommutative Iwasawa theory. Documenta mathematica, Tome 27 (2022), pp. 89-149. doi: 10.4171/dm/867

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