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Generic exponential sums associated with polynomials of degree 3 in two variables
Authors:Chuan Ze Niu
Institution:1. School of Mathematical Sciences, Liaocheng University, Liaocheng, 252059, P. R. China
2. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P. R. China
Abstract:The generic Newton polygon of L-functions associated with the exponential sums of polynomials of degree 3 in two variables is studied by Dwork’s analytic methods. Wan’s conjecture is shown to be true for this case.
Keywords:L-Function  exponential sums  generic Newton polygon  two variables
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