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20122023
most citedStudying Hilbert's 10th problem via explicit elliptic curves

1 citations · 1 across the 3 of their papers we have counts for

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math.NT2023

Cotorsion of anti-cyclotomic Selmer groups on average

Debanjana Kundu, Florian Sprung

For an elliptic curve, we study how many Selmer groups are cotorsion over the anti-cyclotomic -extension as one varies the prime or the quadratic imaginary field…

math.NT2022★ 1 cited

Studying Hilbert's 10th problem via explicit elliptic curves

Debanjana Kundu, Antonio Lei, Florian Sprung

N.García-Fritz and H.Pasten showed that Hilbert's 10th problem is unsolvable in the ring of integers of number fields of the form for positive p…

math.NT2012

Elliptic Curves with Supersingular Reduction over -extensions

Igor Minevich, Florian Sprung

This is a translation of a research announcement by Anas G. Nasybullin from 1976, in which he states formulas for the p-primary part of the Tate-Shafarevich group of an elliptic cu…