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arxiv: 0808.2755 · v1 · submitted 2008-08-20 · 🧮 math.NT · math.AG

Exponential sums nondegenerate relative to a lattice

classification 🧮 math.NT math.AG
keywords exponentialresultssumsappearingapplyapplyingcertaindefect
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Our previous theorems on exponential sums often did not apply or did not give sharp results when certain powers of a variable appearing in the polynomial were divisible by p. We remedy that defect in this paper by systematically applying "p-power reduction," making it possible to strengthen and extend our earlier results.

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