# Decoupling inequalities for short generalized Dirichlet sequences

@inproceedings{Fu2021DecouplingIF, title={Decoupling inequalities for short generalized Dirichlet sequences}, author={Yu Fu and Larry Guth and Dominique Maldague}, year={2021} }

We study decoupling theory for functions on R with Fourier transform supported in a neighborhood of short Dirichlet sequences {log n} 1/2 n=N+1 , as well as sequences with similar convexity properties. We utilize the wave packet structure of functions with frequency support near an arithmetic progression.

## One Citation

### Partial sums of typical multiplicative functions over short moving intervals

- Mathematics, Computer Science
- 2022

. We prove that the k -th positive integer moment of partial sums of Steinhaus random multiplicative functions over the interval ( x, x + H ] matches the corresponding Gaussian moment, as long as H ≪…

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