19 citations · 88 across the 38 of their papers we have counts for
4 papers · 2 filters
A generalization of the theorems of Chevalley-Warning and Ax-Katz via polynomial substitutions
Ioulia N. Baoulina, Anurag Bishnoi, Pete L. Clark
We give conditions under which the number of solutions of a system of polynomial equations over a finite field F_q of characteristic p is divisible by p. Our setup involves the sub…
Typically bounding torsion
Pete L. Clark, Marko Milosevic, Paul Pollack
We formulate the notion of \emph{typical boundedness} of torsion on a family of abelian varieties defined over number fields. This means that the torsion subgroups of elements in t…
A simultaneous generalization of the theorems of Chevalley-Warning and Morlaye
Pete L. Clark
Inspired by recent work of I. Baoulina, we give a simultaneous generalization of the theorems of Chevalley-Warning and Morlaye.
Pursuing polynomial bounds on torsion
Pete L. Clark, Paul Pollack
We show that for all epsilon > 0, there is a constant C(epsilon) > 0 such that for all elliptic curves E defined over a number field F with j(E) in Q we have #E(F)[tors] \leq C(eps…