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math.NT2021
On the Hasse principle for complete intersections
Matthew Northey, Pankaj Vishe
We prove the Hasse principle for a smooth projective variety $X\subset \PP^{n-1}_\Q$ defined by a system of two cubic forms as long as . The main tool here is the d…
math.NT2012
A Fast Algorithm to Compute l(1/2, f x χ_q)
Pankaj Vishe
Let be a fixed (holomorphic or Maass) modular cusp form. Let $\cq$ be a Dirichlet character mod . We describe a fast algorithm that computes the value up…