Abstract
We consider the one-parameter family of hypersurfaces in over with projective equation , proving that the Galois representations attached to their cohomologies are potentially automorphic, and hence that the zeta function of the family has meromorphic continuation to the whole complex plane.
Citation
Thomas Barnet-Lamb. "Meromorphic continuation for the zeta function of a Dwork hypersurface." Algebra Number Theory 4 (7) 839 - 854, 2010. https://doi.org/10.2140/ant.2010.4.839
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