# Hybrid bounds for quadratic Weyl sums and arithmetic applications

@article{Liu2015HybridBF, title={Hybrid bounds for quadratic Weyl sums and arithmetic applications}, author={Sheng-chi Liu and Riad Masri}, journal={Forum Mathematicum}, year={2015}, volume={27}, pages={3397-3423} }

Let D < 0 be an odd fundamental discriminant and q be a prime number which splits in Q( √ D). Given a suitable smooth function f supported on [X, 2X] for X ≥ 1, we establish a uniform bound in X,D and q for ∑ c≡0 (mod q) Wh(D; c)f(c),

## 2 Citations

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