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math.NT2012
Newton polygons for a variant of the Kloosterman family
Rebecca Bellovin, Sharon Anne Garthwaite, Ekin Ozman +3
We study the p-adic valuations of roots of L-functions associated with certain families of exponential sums of Laurent polynomials in n variables over a finite field. The families…
math.NT2012
Families of Artin-Schreier curves with Cartier-Manin matrix of constant rank
Shawn Farnell, Rachel Pries
Let k be an algebraically closed field of characteristic p > 0. Every Artin-Schreier k-curve X has an equation of the form y^p - y = f(x) for some f(x) in k(x) such that p does not…