David Harvey

Results: 197



#Item
41Analytic number theory / Group theory / Elliptic curve / Zeta function / Logarithm / Number theory / Riemann hypothesis / Abstract algebra / Mathematics / Mathematical analysis

Computing zeta functions of projective hypersurfaces in large characteristic David Harvey New York University 22nd April 2010

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Source URL: web.maths.unsw.edu.au

Language: English - Date: 2011-07-17 23:06:27
42Mathematical analysis / Algebraic curves / Group theory / Binary arithmetic / Binary logarithm / Calculus / P / Hyperelliptic curve / Elliptic curve / Mathematics / Abstract algebra / Logarithms

Counting points on curves in average polynomial time David Harvey and Andrew Sutherland February 24, 2014

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Source URL: math.mit.edu

Language: English - Date: 2014-02-24 05:33:53
43Finite fields / Number theory / Group theory / Diophantine geometry / Elliptic curve / Counting points on elliptic curves / Birch and Swinnerton-Dyer conjecture / Mordell–Weil theorem / Elliptic curve cryptography / Abstract algebra / Mathematics / Elliptic curves

Counting points on elliptic curves David Harvey University of New South Wales 6th December 2012, Australian National University

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Source URL: web.maths.unsw.edu.au

Language: English - Date: 2012-12-04 18:47:26
44Polynomials / Computational number theory / Computational complexity theory / Algebra / Digital signal processing / Fast Fourier transform / Fast Library for Number Theory / Time complexity / Multiplication / Mathematics / Abstract algebra / Theoretical computer science

zn poly: a library for polynomial arithmetic David Harvey, New York University January 8, 2009 David Harvey, New York University

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Source URL: web.maths.unsw.edu.au

Language: English - Date: 2011-07-17 23:06:27
45Butterfly diagram / Mathematical analysis / Fourier analysis / Discrete Fourier transform

Faster arithmetic for number-theoretic transforms David Harvey University of New South Wales 20th December 2011, FLINT/Sage Days, University of Warwick

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Source URL: web.maths.unsw.edu.au

Language: English - Date: 2011-12-22 11:34:08
46Finite fields / Conjectures / Algebraic curves / Analytic number theory / Elliptic curve / Group theory / Sato–Tate conjecture / Hyperelliptic curve / Curve / Abstract algebra / Geometry / Mathematics

Counting points on smooth plane quartics David Harvey University of New South Wales Number Theory Down Under, University of Newcastle 25th October 2014

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Source URL: web.maths.unsw.edu.au

Language: English - Date: 2014-10-25 21:41:45
47Applied mathematics / Integer factorization / General number field sieve / Quadratic sieve / Time complexity / Lenstra elliptic curve factorization / Factorization / Prime number / Algorithm / Theoretical computer science / Integer factorization algorithms / Mathematics

Faster deterministic integer factorisation David Harvey (joint work with Edgar Costa, NYU) University of New South Wales 25th October 2011

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Source URL: web.maths.unsw.edu.au

Language: English - Date: 2011-10-24 19:42:20
48Hyperelliptic curve / Elliptic curve / Algorithmic Number Theory Symposium / Algebraic curves / Mathematics / Analytic number theory

Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time David Harvey and Andrew Sutherland ANTS XI — August 9, 2014

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Source URL: math.mit.edu

Language: English - Date: 2014-08-16 11:42:28
49Field theory / Polynomials / Hyperelliptic curve / Elliptic curve / Number theory / Finite field / Prime number / Field / Hyperelliptic curve cryptography / Abstract algebra / Mathematics / Algebra

Polynomial arithmetic and applications in number theory David Harvey September 26, 2008

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Source URL: web.maths.unsw.edu.au

Language: English - Date: 2011-07-17 23:06:27
50Polynomials / Digital signal processing / Algorithms / Kronecker substitution / Polynomial ring / Polynomial / Leopold Kronecker / Fast Fourier transform / Abstract algebra / Mathematics / Algebra

Faster polynomial multiplication via multipoint Kronecker substitution David Harvey, New York University 5th February 2009

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Source URL: web.maths.unsw.edu.au

Language: English - Date: 2011-07-17 23:06:27
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