Newton polygons for a variant of the Kloosterman family
  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 we consider are reflection and Kloosterman variants of diagonal polynomials. Using decomposition theorems of Wan, we determine the Newton and Hodge polygons of a non-degenerate Laurent polynomial in one of these families. 
Rebecca Bellovin, Sharon Anne Garthwaite, Ekin Ozman, Rachel Pries,   Cassandra Williams, Hui June Zhu
math.NT