科研之友
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摘要
We improve the error term in the van der Corput transform for exponential sums, a*%26lt;sub arrange=%26quot;stack%26quot;%26gt;aa parts per thousand currency signna parts per thousand currency signb g(n) exp(2 pi i f(n)). For many functions g and f, we can extract a simple explicit main term for the error. In addition, the methods of this paper avoid the use of the truncated Poisson formula, and thus can be applied to much longer intervals [a, b] with better estimates than previous results. As a result of these refinements, we are able to provide an improvement to the classical Kusmin-Landau inequality.
- 出版日期2014-12
