Pankaj Vishe
University of York
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Publication
Featured researches published by Pankaj Vishe.
Duke Mathematical Journal | 2014
Tim D Browning; Pankaj Vishe
A version of the Hardy-Littlewood circle method is developed for number fields K/Q and is used to show that non-singular projective cubic hypersurfaces over K always have a K-rational point when they have dimension at least 8.
Algebra & Number Theory | 2017
Tim D Browning; Pankaj Vishe
We study the family of rational curves on arbitrary smooth hypersurfaces of low degree using tools from analytic number theory.
International Mathematics Research Notices | 2013
Pankaj Vishe
Let f be a fixed (holomorphic or Maass) modular cusp form, with an L-function L(f,s). We describe an algorithm that computes the value L(f, 1/2 + iT) to any specified precision in time O(1+vertical bar T vertical bar(7/8)).
International Mathematics Research Notices | 2015
James Tanis; Pankaj Vishe
arXiv: Algebraic Geometry | 2015
Tim D Browning; Pankaj Vishe
Geometric and Functional Analysis | 2015
Tim D Browning; Pankaj Vishe
arXiv: Number Theory | 2017
Oscar Marmon; Pankaj Vishe
arXiv: Number Theory | 2016
Alexander Gorodnik; Pankaj Vishe
arXiv: Number Theory | 2015
Tim D Browning; Pankaj Vishe
Geometric and Functional Analysis | 2015
Tim D Browning; Pankaj Vishe
