Harvey D; Hittmeir M, 2022, 'A LOG-LOG SPEEDUP FOR EXPONENT ONE-FIFTH DETERMINISTIC INTEGER FACTORISATION', Mathematics of Computation, 91, pp. 1367 - 1379, http://dx.doi.org/10.1090/mcom/3708
Harvey D; Van Der Hoeven J, 2022, 'Polynomial Multiplication over Finite Fields in Time O(n logn)', Journal of the ACM, 69, pp. 1 - 40, http://dx.doi.org/10.1145/3505584
Harvey D, 2021, 'AN EXPONENT ONE-FIFTH ALGORITHM FOR DETERMINISTIC INTEGER FACTORISATION', Mathematics of Computation, 90, pp. 2937 - 2950, http://dx.doi.org/10.1090/mcom/3658
Journal articles | 2019
Harvey D; van der Hoeven J, 2019, 'Faster polynomial multiplication over finite fields using cyclotomic coefficient rings', Journal of Complexity, 54, http://dx.doi.org/10.1016/j.jco.2019.03.004
Journal articles | 2018
Harvey D; Van Der Hoeven J, 2018, 'Faster integer multiplication using Plain Vanilla FFT primes', Mathematics of Computation, 88, pp. 501 - 514, http://dx.doi.org/10.1090/mcom/3328
Journal articles | 2018
Harvey D; van der Hoeven J, 2018, 'On the complexity of integer matrix multiplication', Journal of Symbolic Computation, 89, pp. 1 - 8, http://dx.doi.org/10.1016/j.jsc.2017.11.001
Journal articles | 2017
Hart W; Harvey D; Ong W, 2017, 'Irregular primes to two billion', Mathematics of Computation, 86, pp. 3031 - 3049, http://dx.doi.org/10.1090/mcom/3211
Journal articles | 2017
Harvey D; Van Der Hoeven J; Lecerf G, 2017, 'Faster polynomial multiplication over finite fields', Journal of the ACM, 63, http://dx.doi.org/10.1145/3005344
Harvey D, 2015, 'Computing zeta functions of arithmetic schemes', Proceedings of the London Mathematical Society, 111, pp. 1379 - 1401, http://dx.doi.org/10.1112/plms/pdv056
Harvey D; Sutherland AV, 2014, 'Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time', LMS Journal of Computation and Mathematics, 17, pp. 257 - 273, http://dx.doi.org/10.1112/S1461157014000187
Harvey D; Hassett B; Tschinkel Y, 2012, 'Characterizing projective spaces on deformations of Hilbert schemes of K3 surfaces', Communications on Pure and Applied Mathematics, 65, pp. 264 - 286, http://dx.doi.org/10.1002/cpa.20384
Harvey D, 2007, 'Kedlaya's algorithm in larger characteristic', International Mathematics Research Notices, 2007, pp. rnm095, http://dx.doi.org/10.1093/imrn/rnm095
Harvey D; Massierer M; Sutherland AV, 2016, 'Computing L-series of geometrically hyperelliptic curves of genus three', in LMS Journal of Computation and Mathematics, University of Kaiserslautern, Germany, pp. 220 - 234, presented at Algorithmic Number Theory Symposium XII, University of Kaiserslautern, Germany, 29 August 2016 - 02 September 2016, http://dx.doi.org/10.1112/S1461157016000383
Conference Papers | 2016
Harvey D; Sutherland AV, 2016, 'Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time, II', in Kohel D; Shparlinski I(ed.), FROBENIUS DISTRIBUTIONS: LANG-TROTTER AND SATO-TATE CONJECTURES, AMER MATHEMATICAL SOC, Ctr Int Rencontres Math, Marseille, FRANCE, pp. 127 - 147, presented at Winter School and Workshop on Frobenius Distributions on Curves, Ctr Int Rencontres Math, Marseille, FRANCE, 17 February 2014 - 28 February 2014, http://dx.doi.org/10.1090/conm/663/13352
Conference Papers | 2016
Harvey D; Van Der Hoeven J; Lecerf G, 2016, 'Fast polynomial multiplication over F260', in Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC, pp. 255 - 262, http://dx.doi.org/10.1145/2930889.2930920
Conference Papers | 2011
Harvey D; Zimmermann P, 2011, 'Short division of long integers', in 20th IEEE Symposium on Computer Arithmetic (ARITH 20), IEEE, Tuebingen, pp. 7 - 14, presented at 20th IEEE Symposium on Computer Arithmetic, Tuebingen, http://dx.doi.org/10.1109/ARITH.2011.11
Conference Papers | 2010
Harvey DM; Roche DS, 2010, 'An in-place truncated fourier transform and applications to polynomial multiplication', in ISSAC '10 Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, Munich, Germany, pp. 325 - 329, presented at ISSAC International Symposium on Symbolic and Algebraic Computation, Munich, Germany, 25 July 2010 - 28 July 2010, http://dx.doi.org/10.1145/1837934.1837996