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math.NT2012★ 15 cited
Sato-Tate groups of some weight 3 motives
Francesc Fité, Kiran S. Kedlaya, Andrew V. Sutherland
We establish the group-theoretic classification of Sato-Tate groups of self-dual motives of weight 3 with rational coefficients and Hodge numbers h^{3,0} = h^{2,1} = h^{1,2} = h^{0…
math.NT2012★ 25 cited
Sato-Tate distributions of twists of y^2=x^5-x and y^2=x^6+1
Francesc Fité, Andrew V. Sutherland
We determine the limiting distribution of the normalized Euler factors of an abelian surface A defined over a number field k when A is isogenous to the square of an elliptic curve…