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20102026
most citedThe average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1

45 citations · 246 across the 34 of their papers we have counts for

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Showing 2015Show all

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math.NT2015★ 21 cited

Geometry-of-numbers methods over global fields I: Prehomogeneous vector spaces

Manjul Bhargava, Arul Shankar, Xiaoheng Wang

We develop geometry-of-numbers methods to count orbits in prehomogeneous vector spaces having bounded invariants over any global field. As our primary example, we apply these techn…

math.NT2015

Sato-Tate equidistribution of certain families of Artin L-functions

Arul Shankar, Anders Södergren, Nicolas Templier

We study various families of Artin -functions attached to geometric parametrizations of number fields. In each case we find the Sato-Tate measure of the family and determine the…