By Professor David Harvey

Preprints

Harvey D; Hittmeir M, 2026, Deterministic methods for finding elements of large multiplicative order, http://dx.doi.org/10.48550/arxiv.2601.11131

Costa E; Harvey D; Sutherland AV, 2022, Counting points on smooth plane quartics, http://dx.doi.org/10.48550/arxiv.2208.09890

Harvey D; Hittmeir M, 2022, A deterministic algorithm for finding $r$-power divisors, http://dx.doi.org/10.48550/arxiv.2202.12401

Harvey D; Hittmeir M, 2021, A log-log speedup for exponent one-fifth deterministic integer factorisation, http://dx.doi.org/10.48550/arxiv.2105.11105

Costa E; Harvey D; Kedlaya KS, 2018, Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in $p$-adic cohomology, http://dx.doi.org/10.48550/arxiv.1806.00368

Harvey D; van der Hoeven J, 2018, Faster integer multiplication using short lattice vectors, http://dx.doi.org/10.48550/arxiv.1802.07932

Harvey D; Massierer M; Sutherland AV, 2016, Computing L-series of geometrically hyperelliptic curves of genus three, http://dx.doi.org/10.48550/arxiv.1605.04708

Harvey D; Sutherland AV, 2014, Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time, II, http://dx.doi.org/10.48550/arxiv.1410.5222

Harvey D; van der Hoeven J; Lecerf G, 2014, Even faster integer multiplication, http://dx.doi.org/10.48550/arxiv.1407.3360

Harvey D; van der Hoeven J; Lecerf G, 2014, Faster polynomial multiplication over finite fields, http://dx.doi.org/10.48550/arxiv.1407.3361

Harvey D; Sutherland AV, 2014, Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time, http://dx.doi.org/10.48550/arxiv.1402.3246

Harvey D, 2013, Faster arithmetic for number-theoretic transforms, http://dx.doi.org/10.48550/arxiv.1205.2926

Costa E; Gerbicz R; Harvey D, 2012, A search for Wilson primes, http://dx.doi.org/10.48550/arxiv.1209.3436

Harvey D; Shparlinski I, 2012, Statistics of Different Reduction Types of Fermat Curves, http://dx.doi.org/10.48550/arxiv.1212.0915

Brent RP; Harvey D, 2011, Fast computation of Bernoulli, Tangent and Secant numbers, http://dx.doi.org/10.48550/arxiv.1108.0286

Harvey D; Hassett B; Tschinkel Y, 2010, Characterizing projective spaces on deformations of Hilbert schemes of K3 surfaces, http://dx.doi.org/10.48550/arxiv.1011.1285

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