# Hybrid bounds for quadratic Weyl sums and arithmetic applications

@article{Liu2015HybridBF,
title={Hybrid bounds for quadratic Weyl sums and arithmetic applications},
journal={Forum Mathematicum},
year={2015},
volume={27},
pages={3397-3423}
}
• Published 2015
• Mathematics
• Forum Mathematicum
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),
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