On a question of Igusa, II: Uniform asymptotic bounds for Fourier transforms in several variables

[摘要] This paper shows that a nontrivial uniform decay estimate for complete exponential sums modulo pr, determined by a polynomial map ${f P} = (P_1, P_2)$ follows from the existence of a ‘good P decomposition’ of ${mathbb Z}_p^n$, a property that can be proved with geometric methods, and which was introduced in an earlier article by the present author.

[学科分类] 数学（综合）