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Error term improvements for van der Corput transforms
Asymptotic analysis exponential sum trigonometric sum
2012/5/9
We improve the error term in the van der Corput transform for exponential sums
\sum_{a \le n \le b} g(n) exp(2\pi i f(n)).
For many functions g and f, we can extract the next term in the asymptoti...
Some improvements on the constants for the real Bohnenblust-Hille inequality
improvements constants real Bohnenblust-Hille inequality
2010/12/6
A classical inequality due to Bohnenblust and Hille states that for every N ∈ N and every m-linear mapping U : ℓN 1 × · · · × ℓN 1 → C we have N X i1,...,im=1 U(ei1 , ..., eim) 2m m...