Shaving Logs via Large Sieve Inequality: Faster Algorithms for Sparse Convolution and More
In sparse convolution-type problems, a common technique is to hash the input integers modulo a random prime $p\in [Q/2,Q]$ for some parameter $Q$, which reduces the range of the input integers while preserving their additive structure. However, this hash family suffers from two drawbacks, which led...
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