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arXiv · 2508.16164

Probably faster multiplication of sparse polynomials

Joris van der Hoeven
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Abstract

In this paper, we present a probabilistic algorithm to multiply two sparse polynomials almost as efficiently as two dense univariate polynomials with a result of approximately the same size. The algorithm depends on unproven heuristics that will be made precise. Non-heuristic versions that are a constant times slower are also presented.

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Joris van der Hoeven. 2025-08-22. Probably faster multiplication of sparse polynomials. https://arxiv.org/abs/2508.16164

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