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math.NT2008
Meromorphic continuation for the zeta function of a Dwork hypersurface
Thomas Barnet-Lamb
We consider the one-parameter family of hypersurfaces in $\Pj^5$ with projective equation (X_1^5+X_2^5+X_3^5+X_4^5+X_5^5) = 5λX_1 X_2... X_5, (writing for the parameter), provi…
math.NT2008
Potential automorphy for certain Galois representations to GL_2n
Thomas Barnet-Lamb
Building upon work of Clozel, Harris, Shepherd-Barron, and Taylor, this paper shows that certain Galois representations become automorphic after one makes a suitably large totally-…