9 citations · 13 across the 3 of their papers we have counts for
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math.NT2003★ 9 cited
Galois representations attached to Q-curves and the generalized Fermat equation A^4 + B^2 = C^p
Jordan S. Ellenberg
We show that the mod p Galois representations attached to a Q-curve E of degree d over an imaginary quadratic number field K are surjective for all p larger than some constant M_{K…
math.NT2003★ 1 cited
On the error term in Duke's estimate for the average special value of L-functions
Jordan S. Ellenberg
Let F be an orthonormal basis of weight 2 cusp forms on Gamma_0(N). We show that various weighted averages of special values L(f \tensor chi, 1) over f in F are equal to 4 pi + O(N…
math.NT2003★ 3 cited
The number of extensions of a number field with fixed degree and bounded discriminant
Jordan S. Ellenberg, Akshay Venkatesh
We give an upper bound on the number of extensions of a fixed number field of prescribed degree and discriminant less than X; these bounds improve on work of Schmidt. We also prove…