2 papers
math.NT2020
Zeta functions over finite fields- An exposition of Dwork's methods
Martin Ortiz Ramirez
The paper reviews Dwork's p-adic analytic methods used in the Weil Conjectures. The first two chapters review a version of his proof of the rationality conjecture. The rest of the…
math.NT2019
Lattice points in spherical segments
Martin Ortiz Ramirez
We study lattice points in d-dimensional spheres, and count their number in thin spherical segments. We found an upper bound depending only on the radius of the sphere and opening…