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math.NT2011★ 1 cited
Euler factors determine local Weil representations
Tim Dokchitser, Vladimir Dokchitser
We show that a Frobenius-semisimple Weil representation over a local field K is determined by its Euler factors over the extensions of K. The construction is explicit, and we illus…
math.NT2011★ 30 cited
Surjectivity of mod 2^n representations of elliptic curves
Tim Dokchitser, Vladimir Dokchitser
For an elliptic curve E over Q, the Galois action on the l-power torsion points defines representations whose images are subgroups of GL_2(Z/l^n Z). There are three exceptional pri…
math.NT2010
The Tate-Shafarevich group for elliptic curves with complex multiplication II
J. Coates, Z. Liang, R. Sujatha
Let E be an elliptic curve over Q with complex multiplication. The aim of the present paper is to strengthen the theoretical and numerical results of \cite{CZS}. For each prime p,…