Richard Brent - Some Talks and Lectures

65th Annual Meeting of the Australian Mathematical Society, Newcastle, 7 - 10 December 2021

• Jonathan Borwein 1951-2016: life and legacy
  presented via Zoom at the 65th Annual Meeting of the Australian Mathematical Society,
  University of Newcastle, Australia, 8 Dec. 2021.
  Overhead transparencies (beamer format): [pdf]
  Preprint: arXiv:2107.06030
  A brief interview by David Roberts.
  

9th Number Theory Downunder Conference, Sydney, 27 - 29 September 2021

• A sum over non-trivial zeros of the Riemann zeta-function
  (joint work with Dave Platt and Tim Trudgian),
  presented via Zoom at the Ninth Number Theory Down Under Conference
  (session celebrating the 75th birthday of Richard Brent),
  University of Sydney, 27 Sept. 2021.
  Overhead transparencies (beamer format): [pdf]
  Related preprints: arXiv:2009.05251, arXiv:2009.13791
  

Discrete Mathematics Seminar, Monash, 19 May 2021

• Algorithms for the multiplication table problem
  (joint work with Carl Pomerance and Jonathan Webster),
  Monash University, Melbourne, 19 May 2021.
  Overhead transparencies (beamer format): [pdf]
  Preprint: arXiv:1908.04251
  

CARMA Colloquium, Newcastle, 11 March 2021

• Primes, the Riemann zeta-function, and sums over zeros
  (joint work with Dave Platt and Tim Trudgian),
  presented via Zoom at CARMA, University of Newcastle, Australia, 11 March 2021.
  Overhead transparencies (beamer format): [pdf]
  Related preprints: arXiv:2009.13791, arXiv:2009.05251
  

64th Annual Meeting of the Australian Mathematical Society, Armidale, 8 - 11 December 2020

• Estimation of sums over zeros of the Riemann zeta-function
  (joint work with Dave Platt and Tim Trudgian),
  presented via Zoom at the 64th Annual Meeting of the Australian Mathematical Society,
  University of New England, Armidale, 10 Dec. 2020.
  Overhead transparencies (beamer format): [pdf]
  Preprint: arXiv:2009.13791v1
  

8th Number Theory Downunder Conference, Melbourne, 6 - 8 October 2020

• The mean square error in the prime number theorem does not have a limit
  (joint work with Dave Platt and Tim Trudgian),
  presented via Zoom at the Eighth Number Theory Down Under Conference,
  University of Melbourne, 7 Oct. 2020.
  Overhead transparencies (beamer format): [pdf]
  Related preprint: arXiv:2008.06140
  

Guest Lecture in MATH1510, University of Newcastle, NSW, 16 October 2019

• Pitfalls in computation
  presented in MATH1510 at the University of Newcastle, NSW, 16 Oct. 2019.
  Overhead transparencies (beamer format): [pdf]
  

7th Number Theory Downunder Conference, UNSW, Sydney, 31 September - 3 October 2019

• The multiplication table problem revisited
  (joint work with Carl Pomerance, David Purdum and Jonathan Webster),
  presented at the Seventh Number Theory Down Under Conference,
  UNSW, Sydney, 2 Oct. 2019.
  Overhead transparencies (beamer format): [pdf]
  

AMSI/AustMS Workshop on Mathematical Thinking, Newcastle, 14 - 16 November 2018

• Thinking and doing mathematics in the 21st century
  presented at the AMSI/AustMS Workshop on Mathematical Thinking,
  CARMA, University of Newcastle, Australia, 16 Nov. 2018.
  Overhead transparencies (beamer format): [pdf]
  

6th Number Theory Downunder Conference, Canberra, 24 - 27 September 2018

• Asymptotic expansions and conjectures related to the exponential integral
  (joint work with Larry Glasser and Tony Guttmann),
  presented at the Sixth Number Theory Down Under Conference,
  UNSW, Canberra, 26 Sept. 2018.
  Overhead transparencies (beamer format): [pdf]
  

CARMA Seminar, Newcastle, 29 May 2018

• Algorithms for the Multiplication Table Problem
  (joint work with Carl Pomerance and Jonathan Webster),
  presented as part of the CARMA Special Semester in Computation and Visualisation,
  Newcastle, NSW, 29 May 2018.
  Overhead transparencies (beamer format): [pdf]
  

Pi Day talk, Newcastle, 14 March 2018

• Jonathan Borwein, Pi and the AGM
  presented in memory of Jonathan Borwein (1951-2016) and in celebration of "Pi Day",
  Newcastle, NSW, 14 March 2018.
  Overhead transparencies (beamer format): [pdf]
  

5th Number Theory Downunder Conference, Bendigo, 29 September - 2 October 2017

• The Kolakoski Sequence and Some Fast Algorithms, Part 2
  presented at the Fifth Number Theory Down Under Conference,
  Bendigo, Vic, 1 Oct. 2017.
  Overhead transparencies (beamer format): [pdf]
  

Jon Borwein Commemorative Conference (JBCC), Newcastle, NSW, 25-29 September 2017

• Jonathan Borwein, Pi and the AGM
  keynote talk presented at the
  Jonathan M. Borwein 1951-2016 Commemorative Conference,
  Newcastle, NSW, 26 Sept. 2017.
  Overhead transparencies (beamer format): [pdf]
  

40th ACCMCC Conference, Newcastle, NSW, 12-16 December 2016

• A fast algorithm for the Kolakoski sequence
  (joint work with Judy-anne Osborn), presented at the
  40th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing,
  Newcastle, NSW, 13 Dec. 2016.
  Overhead transparencies (beamer format): [pdf]
  

Number Theory Seminar, University of NSW, 16 November 2016

• Fast algorithms for the Kolakoski sequence
  (joint work with Judy-anne Osborn),
  presented at the School of Mathematics and Statistics, University of NSW,
  Sydney, 16 Nov. 2016.
  Overhead transparencies (beamer format): [pdf]
  

4th Number Theory Downunder Conference, Newcastle, 23-26 September 2016

• Accuracy of asymptotic approximations to the log-Gamma and Riemann-Siegel theta functions
  presented at the Fourth Number Theory Down Under Conference
  (celebrating the 70th birthday of Richard Brent),
  Newcastle, NSW, 23-26 Sept. 2016.
  Overhead transparencies (beamer format): [pdf]
  Preprint (Sept. 2016): arXiv:1609.03682v1.
  

Probabilistic and Extremal Combinatorics Downunder, Melbourne, 13-17 June 2016

• Probabilistic lower bounds on maximal determinants of binary matrices
  (joint work with Judy-anne Osborn and Warren Smith),
  presented by Judy-anne Osborn and Richard Brent at a workshop on
  Probabilistic and Extremal Combinatorics Downunder, Monash University, Melbourne, 13-17 June 2016.
  Overhead transparencies (beamer format): [pdf]
  

Capital Number Theory, Canberra, 8-9 April 2016

• The great trinomial hunt: an update
  (joint work with Paul Zimmermann),
  presented at Capital Number Theory, Canberra, 9 April 2016.
  Overhead transparencies (beamer format): [pdf]
  

CARMA Seminar, Newcastle, 27 October 2015

• Some identities involving products of Gamma functions: a case study in experimental mathematics
  (joint work with Christian Krattenthaler and Ole Warnaar),
  presented at a CARMA seminar, Newcastle, NSW, 27 October 2015.
  Overhead transparencies (beamer format): [pdf]
  Shorter version: Discrete analogues of Macdonald-Mehta integrals
  presented at the Guttmann 2015 - 70 and Counting conference, Newcastle, 7 December 2015. [pdf]
  

Workshop on Mathematics and Computation, Newcastle, 19-21 June 2015

• Asymptotics of some functions arising in number theory and analysis of algorithms
  via computation and Mellin transforms
  (presented at a Workshop on Mathematics and Computation, Newcastle, NSW, 20 June 2015).
  Overhead transparencies (beamer format): [pdf]
  

Seminar, Hong Kong Baptist University, 6 February 2015

• Some mysteries of multiplication, and how to generate random factored integers
  (joint work with Carl Pomerance).
  Overhead transparencies (beamer format): [pdf]
  

Gene Golub Day Memorial Workshop, Hong Kong Baptist University, 7 February 2015

• Lower bounds for the Hadamard maximal determinant problem
  (joint work with Judy-anne Osborn and Warren Smith).
  Overhead transparencies (beamer format): [pdf]
  Preprint: arXiv:1501.06235v3
  Programme and photos: click here.
  

58th Annual Meeting of the Australian Mathematical Society, Melbourne, 8 December 2014

• Asymptotics of a Mahler function
  (joint work with Michael Coons and Wadim Zudilin).
  Overhead transparencies (beamer format): [pdf]
  Preprint: arXiv:1412.7906v2
  

2nd Number Theory Down Under Conference, Newcastle, 24-25 October 2014

• Twin primes (seem to be) more random than primes
  (presented at the Second Number Theory Down Under Conference, Newcastle, NSW, 25 October 2014).
  Overhead transparencies (beamer format): [pdf]
  Remark (25 May 2020): Slide 15 has been corrected.
  

2014 Moyal Lecture, Macquarie University, 15 October 2014

• Needles, haystacks and optimal designs
  (2014 Moyal Lecture, Macquarie University, 15 October 2014).
  Overhead transparencies (beamer format): [pdf]
  Abstract: [html]
  

57th Annual Meeting of the Australian Mathematical Society, Sydney, 1 October 2013

• Improved lower bounds on the Hadamard maxdet problem, Part I
  (joint work with and presented by Judy-anne Osborn).
  Overhead transparencies (beamer format): [pdf]
  Preprint: arXiv:1309.2795v2
  
  
• Improved lower bounds on the Hadamard maxdet problem, Part II
  (joint work with Judy-anne Osborn and Warren Smith).
  Overhead transparencies (beamer format): [pdf]
  Preprint (March 2014): arXiv:1402.6817v2
  

University of Newcastle, first semester 2013

• Lectures on the Probabilistic Method
  A series of lectures on the probabilistic method, with applications to the Hadamard maximal determinant problem.
  Further details are here.

36th ACCMCC Conference, University of NSW, 10-14 December 2012

• Lower bounds on maximal determinants via the probabilistic method
  (joint work with Warren Smith and Judy-anne Osborn).
  We use the probabilistic method to give improved lower bounds on the maximal determinant of n times n {+-1} matrices.
  Overhead transparencies (beamer format): [pdf]
  Preliminary version presented at CARMA, University of Newcastle, 4 December 2012.
  Preprint: arXiv:1211.3248v2
  
  
• Bounds on minors of binary matrices
  (joint work with and presented by Judy-anne Osborn).
  Overhead transparencies (beamer format): [pdf]
  Preprint: arXiv:1208.3330v3
  

56th Annual Meeting of the Australian Mathematical Society, Ballarat, 26-27 September 2012

• The multiplication table, and random factored integers
  (joint work with Carl Pomerance).
  Overhead transparencies (beamer format): [pdf]
  Longer version presented at HKBU, 6 February 2015: [pdf]
  

• Lower bounds on maximal determinants
  (joint work with Judy-anne Osborn).
  Overhead transparencies (beamer format): [pdf]
  Paper: arXiv:1208.1805v3
  

ANU, 1 August 2012

• Factoring integers - an introduction
  (an introductory talk to given to year 11/12 students).
  Overhead transparencies (beamer format): [pdf]
  

One-Day Seminar on Inverse Problems, April 2012

• Inverse problems, cryptography and security
  (presented at the Second One-Day Seminar on Inverse Problems, ANU, 13 April 2012).
  This introductory talk describes some problems that are useful in cryptography or other aspects of computer security, and their associated inverse problems.
  Overhead transparencies (beamer format): [pdf]
  

Conference and Workshop in Memory of Alf van der Poorten, March 2012

• On the distribution of arg(zeta(sigma+it)) in the half-plane sigma > 1/2
  (presented at the International Number Theory Conference in Memory of Alf van der Poorten, Newcastle, NSW, 12-16 March 2012).
  We quantify the statement that the real part of the Riemann zeta function is "usually positive".
  (Joint work with Juan Arias de Reyna and Jan van de Lune.)
  Overhead transparencies (beamer format): [pdf]
  Paper (appeared in the conference proceedings): arXiv:1205.4423v2
  
• A longer version: On the sign of the real part of the Riemann zeta function
  was presented at the Workshop on Number Theory and its Applications in Memory of Alf van der Poorten, Macquarie University, Sydney, 19-20 March, 2012.
  Overhead transparencies (beamer format): [pdf]
  

Hadamard Workshop in Honour of Kathy Horadam, RMIT, Melbourne, 28 November 2011

• Finding many solutions of the Hadamard maximal determinant problem given the maximal Gram matrices
  (presented at the International Workshop on Hadamard Matrices and their Applications in Honour of Kathy Horadam's sixtieth birthday, RMIT University, Melbourne, 28-30 November, 2011).
  We describe how randomised decomposition and switching can be used to find many solutions of the Hadamard maximal determinant problem for certain orders.
  Overhead transparencies (beamer format): [pdf]
  A related paper (appeared in Australasian J. of Combinatorics) is here.
  

Workshop in Honour of Jon Borwein, Simon Fraser University, Canada, 16-20 May 2011

• Computing Bernoulli and Tangent numbers
  (presented via video-link from Newcastle for the Computational and Analytical Mathematics Conference in Honour of Jonathan Borwein's sixtieth birthday, 16-20 May, 2011). We consider some algorithms for computing Bernoulli, Secant and Tangent numbers, giving both asymptotically fast algorithms and convenient algorithms based on three-term recurrences.
  Video of the talk.
  Overhead transparencies (beamer format): [pdf]
  A related paper (appeared in the conference proceedings) is here.
  
• A similar talk was presented at the Australian Mathematical Society 55th Annual Meeting, Wollongong, 28 September 2011.
  

34th ACCMCC, Canberra, 6 December 2010

• An O(M(n) log n) algorithm for the Jacobi symbol
  (presented at the 34th ACCMCC Conference, ANU, 6 December 2010).
  We give an O(M(n) log n) algorithm for computing the Jacobi symbol, based on the binary recursive GCD algorithm of Stehlé and Zimmermann.
  Overhead transparencies (beamer format): [pdf]
  A similar talk (presented by my co-author Paul Zimmermann at the ANTS-IX Conference, INRIA, Nancy, France, 20 July 2010).
  Overhead transparencies (beamer format): [pdf]
  A related paper is here.
  

ANU, 12 August 2010

• Factoring Integers - an Introduction
  (an introductory talk to given to year 11 students)
  Overhead transparencies (beamer format): [pdf]
  

CARMA Number Theory Workshop, Newcastle, NSW, 8 July 2010

• Ramanujan and Euler's Constant (in memory of Edwin M. McMillan)
  (invited talk presented at the CARMA Number Theory Workshop, University of Newcastle, NSW, 7-9 July 2010).
  We discuss some formulas of Ramanujan that are relevant to the computation of Euler's constant 0.577..., recent record computations by Alexander Yee, and the contributions of McMillan and Riemann.
  Overhead transparencies (beamer format): [pdf]
  

Hadamard Maximal Determinant Workshop, ANU, 14 May 2010

• Decomposing Gram matrices,
  (invited talk presented at the Hadamard Maximal Determinant Workshop, Australian National University, Canberra, 13-17 May 2010).
  We discuss algorithms to decompose Gram matrices in order to find {+1,-1} matrices of maximal determinant.
  Overhead transparencies (beamer format): [pdf]
  

CARMA Opening, Newcastle, NSW, 31 October 2009

• The Great Trinomial Hunt
  (invited talk presented at the opening of CARMA, University of Newcastle, NSW, 31 October 2009).
  This talk announced the successful completion of a search for primitive trinomials whose degree is the exponent of a Mersenne prime (at least until the GIMPS Project finds another Mersenne prime).
  Overhead transparencies (beamer format): [pdf]
  Longer talk given as an MSI Colloquium: [pdf]

Queen Mary, London, 30 March 2009

• Factoring and Testing Irreducibility of Sparse Polynomials over Small Finite Fields
  (seminar presented at Queen Mary, University of London, 30 March 2009).
  Overhead transparencies: [pdf]
  

Christchurch, December 2008

• Three Ways to Test Irreducibility
  (presented at the Seventh Australia - New Zealand Mathematics Convention (ANZMC2008), Christchurch, New Zealand, 8-12 December 2008).
  This talk announced the discovery of a new primitive trinomial of record degree 43112609.
  Overhead transparencies: [pdf]
  
• An updated version was presented at the 25th British Colloquium for Theoretical Computer Science (BCTCS09), University of Warwick, 7 April 2009.
  Overhead transparencies: [pdf]
  
• A prelimininary version was presented at the MASCOS annual conference held in Beechworth, Victoria, 10-11 July 2008).
  

Melbourne, July 2007

• A Multi-level Blocking Distinct Degree Factorization Algorithm
  (presented at the Fq8 Conference held in Melbourne, 9-13 July 2007).
  Overhead transparencies: [pdf]
  
• A similar talk was presented at the University of Adelaide, 7 Dec 2007.
  

Stanford, March 2007

• George Forsythe's Last Paper
  (presented at the Stanford 50 Conference held at Stanford University, 29-31 March 2007).
  Overhead transparencies: [pdf]
  Paper: [pdf]
  

Canberra, February 2007

• The Myth of Equidistribution for High-Dimensional Simulation
  (presented at the Second Workshop on High-Dimensional Approximation, ANU, 19 February 2007).
  Overhead transparencies: [pdf]
  Paper: [pdf]
  

Canberra, October 2006

• Pitfalls in Computation: Random and not so Random Numbers
  ( NAMS seminar, ANU, 9 October 2006).
  Overhead transparencies: [pdf]
  

Berlin, July 2006

• Using Magma to Find Good Xorshift Random Number Generators
  (invited talk presented at the Magma 2006 Conference, Berlin, 30 July 2006).
  Overhead transparencies: [pdf]
• A similar talk was presented at Sydney University, 14 June 2007.
  

Berlin, July 2006

• Reversible Rotations, or how Rho Lost its Tail
  (keynote talk presented at the Computing by the Numbers: Algorithms, Precision, and Complexity Workshop, Berlin, 20-21 July 2006,
  celebrating the 60th birthday of Richard Brent).
  Overhead transparencies: [pdf]
  

Nancy, July 2006

• Fast Algorithms for High-Precision Computation of Elementary Functions
  (invited talk presented at the RNC7 Conference, Nancy, France, 12 July 2006).
  Overhead transparencies: [pdf]
• A similar talk was presented at Sydney University, 13 June 2007.
  

Townsville, July 2006

• Some Long-Period Random Number Generators using Shifts and Xors
  (presented at the CTAC06 Conference, Townsville, 3 July 2006).
  Overhead transparencies: [pdf]
  

Canberra, September 2005

• Challenges in Solving Large Sparse Linear Systems over Finite Fields
  (Symposium on Optimisation and Data Analysis in honour of Mike Osborne's 70th birthday), Canberra, 23 September 2005).
  Overhead transparencies: [dvi] [pdf] [ps]
  
  

Oxford, February 2005

• Computing Ratings from Eigenvectors
  (Computational Mathematics and Applications Seminar, Oxford, 3 February 2005).
  Overhead transparencies: [dvi] [pdf] [ps]
  Paper: [pdf]
  

Oxford, November 2004

• Uncertainty can be Better than Certainty: Some Algorithms for Primality Testing
  (28th Strachey Lecture, Oxford, 2 November 2004).
  Overhead transparencies: [dvi] [pdf] [ps]
  
• Revision for Computational Mathematics seminar, MSI, ANU, 27 November 2006: [pdf] [ps]
  
• Revision for talk to the ANU Mathematics Society, 3 March 2010: [pdf]
  

Lyngby, June 2004

• Fast and Reliable Random Number Generators for Scientific Computing
  (invited talk presented at the PARA04 Workshop, State-of-the-Art in Scientific Computing,
  Lyngby, Denmark, 20-23 June 2004).
  Overhead transparencies: [dvi] [pdf] [ps]
  
• Revision for AdvCom seminar, ANU, 8 May 2006: [pdf] [ps]
  

Banff, Clemson and Oxford, April-July 2003

• Almost Irreducible and Almost Primitive Trinomials
  (invited talk presented at the Hugh Williams 60-th birthday conference, Banff, Canada, 26 May 2003).
  Overhead transparencies: [dvi] [pdf] [ps]
  A revised version of this talk was presented at the
  • 22nd Secants meeting, Royal Holloway, University of London (29 November 2003).
  Another version of this talk was presented at
  • Laboratoire STIX, École Polytechnique, Palaiseau, France (10 December 2003).
• Primitive and Almost Primitive Trinomials over GF(2)
  (invited talk presented at the East Coast Computer Algebra Day, Clemson, South Carolina, 5 April 2003).
  Overhead transparencies: [dvi] [pdf] [ps]
  A related talk was given at
  • UKCRC Algorithms and Complexity Day, University of Warwick (3 May 2002).
• All You Wanted to Know about Irreducible and Primitive Trinomials
  (a 20-minute introduction to the subject, Oxford Supercomputer Centre Mini-Conference, 1 July 2003).
  Overhead transparencies: [dvi] [pdf] [ps]
  
• Some papers on these topics are available.
  

Montreal, May 2003

• Random Number Generators with Period Divisible by a Mersenne Prime
  (invited talk presented at the 2003 International Conference on Computational Science and its Applications (ICCSA03), Montreal, Canada, 21 May 2003).
  Overhead transparencies: [dvi] [pdf] [ps]
  
• A paper on this topic is available.
  

Clemson, April 2003

• Primality Testing
  (seminar presented at Clemson University, South Carolina, 4 April 2003).
  Overhead transparencies: [dvi] [pdf] [ps]
  
• A revised version of this talk was presented to the Oxford University Invariant Society (25 November 2003).
• A preliminary version of this talk was given in a research seminar at the Oxford University Computing Laboratory (18 October 2002).
  
• A similar talk was given at a Monash University Intelligent Systems seminar (15 August 2006).
  
• See also Strachey Lecture above.
  

Bath and Oxford, November 2002

• Large Sparse Linear Systems over Finite Fields
  (presented at Bath/RAL Numerical Analysis Day, 4 Nov 2002;
  also Departmental Seminar, OUCL, Oxford, 12 Nov 2002; updated version presented in Canberra, 23 September 2005).
  Overhead transparencies: [pdf] [ps]
  

Hong Kong, September 2001

• Primitive Trinomials and Random Number Generators
  (distinguished lecture series seminar presented at the Chinese University of Hong Kong in celebration of the tenth Anniversary of the Faculty of Engineering, 26 Sept 2001).
  Overhead transparencies: [dvi] [pdf] [ps]
  
• Similar talks were given at
  • Bristol (23 Oct 2001);
  • Oxford (1 May 2001) and INRIA Lorraine (6 Sept 2001);
  • CWI, Amsterdam (6 April 2001);
• Some papers on these topics are available.
  

Birmingham, Manchester and Utrecht, March - April 2001

• Prospects for Integer Factorisation Algorithms
  (seminar presented at Utrecht, 5 April 2001; also Birmingham and Manchester, March 2001).
  Overhead transparencies: [dvi] [pdf] [ps]
  
• Related talks were given in:
  • Hong Kong and INRIA Lorraine, September 2001
  • Zurich, December 2000
  • Sydney (COCOON), July 2000
  • Cardiff, November 1999
  • Toulouse (Europar), September 1999
• For details, see the survey paper presented at COCOON 2000, Sydney, July 2000.

Symposium in Celebration of the Work of Tony Hoare, Oxford, Sept 1999

• Twenty years' analysis of the binary Euclidean algorithm
  (Hoare Symposium, Oxford, 15 Sept 1999).
  Overhead transparencies: [dvi] [pdf] [ps]
  Related talks were given in:
  • Hong Kong, Sept 2001;
  • Warwick, June 1998.
• For more details, see the paper which appeared in the Hoare Symposium Proceedings.

Special Series of Lectures on Algorithms, Oxford, 1999

• Six lectures on algorithms
  (Oxford, May-June 1999)
  Overhead transparencies: [pdf] [ps]
  More details of each lecture.

Cambridge, May 1999

• Fast and Numerically Stable Algorithms for Structured Matrices
  (seminar, DAMTP, Cambridge University, May 1999).
  Overhead transparencies: [dvi] [pdf] [ps]
  
• For more details, see the paper which appeared as a chapter in
  [preliminary version of a chapter which appeared in
  Fast Reliable Algorithms for Matrices with Structure (edited by Kailath and Sayed), SIAM, 1999, 103-116].

Arith 14, Adelaide, April 1999

• Computer arithmetic - a programmer's perspective
  (invited talk, 14th IEEE Symposium on Computer Arithmetic, Adelaide, April 1999).
  Overhead transparencies: [dvi] [pdf] [ps]
  

CWI Number Theory Day, Amsterdam, May 1998

• Integer Factorization Algorithms Illustrated by the Factorization of Fermat Numbers
  (invited talk, Number Theory Day, CWI, Amsterdam, May 1998).
  Overhead transparencies: [dvi] [pdf] [ps]
  

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