Exponential sums nondegenerate relative to a lattice

Mathematics – Number Theory

Scientific paper

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21 pages

Scientific paper

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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