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math.AG2015★ 14 cited
Number of Solutions of Systems of Homogeneous Polynomial Equations over Finite Fields
Mrinmoy Datta, Sudhir R. Ghorpade
We consider the problem of determining the maximum number of common zeros in a projective space over a finite field for a system of linearly independent multivariate homogeneous po…
math.AG2015
On a conjecture of Tsfasman and an inequality of Serre for the number of points on hypersurfaces over finite fields
Mrinmoy Datta, Sudhir R. Ghorpade
We give a short proof of an inequality, conjectured by Tsfasman and proved by Serre, for the maximum number of points on hypersurfaces over finite fields. Further, we consider a co…