Professor James McKee

  1. 1994
  2. Published

    Computing division polynomials

    McKee, J., 1994, In : Mathematics of Computation. 63, p. 767-771

    Research output: Contribution to journalArticle

  3. 1995
  4. Published

    On the average number of divisors of quadratic polynomials

    McKee, J., 1995, In : Mathematical Proceedings of the Cambridge Philosophical Society. 117, p. 389-392

    Research output: Contribution to journalArticle

  5. 1996
  6. Published

    Old and new deterministic factoring algorithms

    McKee, J. & Pinch, R., 1996, Proceedings of the second Algorithmic Number Theory Symposium (ANTS II). Springer, p. 217-224

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  7. Published

    Turning Euler’s factoring method into a factoring algorithm

    McKee, J., 1996, In : Bulletin of the London Mathematical Society. 28, p. 351-355

    Research output: Contribution to journalArticle

  8. 1997
  9. Published

    A note on the number of divisors of quadratic polynomials, in Sieve Methods

    McKee, J., 1997, Exponential Sums and their Applications in Number Theory. Cambridge University Press, p. 275-281

    Research output: Chapter in Book/Report/Conference proceedingChapter

  10. 1999
  11. Published

    Salem numbers and Pisot numbers from stars

    McKee, J., Smyth, C. J. & Rowlinson, P., 1999, Number Theory in Progress: Number ThProceedings of the International Conference on Number Theory in Honor of Andrzej Schinzel, held in Zakopane, Poland, June 30 – July 9, 1997. Part I: Diophantine Problems and Polynomials. de Gruyter, p. 309-319

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  12. Published

    Speeding Fermat’s factoring method

    McKee, J., 1999, In : Mathematics of Computation. 68, p. 1729-1737

    Research output: Contribution to journalArticle

  13. Published

    Subtleties in the distribution of the numbers of points on elliptic curves over a finite prime field

    McKee, J., 1999, In : Journal of the London Mathematical Society. 59, 2, p. 448-460

    Research output: Contribution to journalArticle

  14. Published

    The average number of divisors of an irreducible quadratic polynomial

    McKee, J., 1999, In : Mathematical Proceedings of the Cambridge Philosophical Society. 126, p. 17-22

    Research output: Contribution to journalArticle

  15. 2000
  16. Published

    Families of Pisot numbers with negative trace

    McKee, J., 2000, In : Acta Arithmetica. XCIII.4, p. 373-385

    Research output: Contribution to journalArticle

  17. Published

    The probability that the number of points on an elliptic curve over a finite field is prime

    McKee, J. & Galbraith, S. D., 2000, In : Journal of the London Mathematical Society. 62, 2, p. 671-684

    Research output: Contribution to journalArticle

  18. 2004
  19. Published

    Salem numbers of trace-2 and traces of totally positive algebraic integers

    McKee, J. & Smyth, C., 2004, In : ALGORITHMIC NUMBER THEORY, PRCEEDINGS. 3076, p. 327-337 11 p.

    Research output: Contribution to journalArticle

  20. 2005
  21. Published

    Pairings for elliptic curves over finite commutative rings

    McKee, J. & Galbraith, S. D., 2005, Cryptography and Coding, Cirencester. p. 392-409 (Lecture Notes in Computer Science; vol. 3796).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  22. Published

    Salem numbers, Pisot numbers, Mahler measure, and graphs

    McKee, J. & Smyth, C., 2005, In : EXPERIMENTAL MATHEMATICS. 14, 2, p. 211-229 19 p.

    Research output: Contribution to journalArticle

  23. Published

    Tunable balancing of RSA

    McKee, J., Galbraith, S. D. & Heneghan, C., 2005, ACISP 10. p. 280-292 (Lecture Notes in Computer Science; vol. 3574).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  24. Published

    There are Salem numbers of every trace

    McKee, J. & Smyth, C., Feb 2005, In : Bulletin of the London Mathematical Society. 37, p. 25-36 12 p.

    Research output: Contribution to journalArticle

  25. 2006
  26. Published

    Small exponent point groups on elliptic curves

    McKee, J., Luca, F. & Shparlinski, I., 2006, In : Journal de Theorie des Nombres de Bordeaux. 18, 2, p. 471-476

    Research output: Contribution to journalArticle

  27. 2007
  28. Published

    Ordinary abelian varieties having small embedding degree

    Galbraith, S. D., McKee, J. F. & Valença, P. C., Nov 2007, In : Finite Fields and Their Applications. 13, 4, p. 800-814 15 p.

    Research output: Contribution to journalArticle

  29. Published

    Integer symmetric matrices having all their eigenvalues in the interval [-2,2]

    Mckee, J. & Smyth, C., 1 Nov 2007, In : Journal of Algebra. 317, 1, p. 260-290 31 p.

    Research output: Contribution to journalArticle

  30. 2008
  31. Published

    Conjugate algebraic numbers on conics: a survey

    McKee, J., 2008, Number Theory and Polynomials. McKee, J. & Smyth, C. (eds.). Cambridge University Press, p. 211-240 (LMS Lecture Note Series; vol. 352).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  32. Published

    Number Theory and Polynomials: Proceedings of a conference in Bristol, April 2006

    McKee, J. (ed.) & Smyth, C. J. (ed.), 2008, Cambridge University Press. 360 p. (LMS Lecture Notes Series; vol. 352)

    Research output: Book/ReportBook

  33. 2009
  34. Published
  35. 2010
  36. Published

    Small-span characteristic polynomials of integer symmetric matrices

    McKee, J., 2010, ANTS IX. p. 272-286 (Lecture Notes in Computer Science; vol. 6197).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  37. Published

    Galois theory of Salem polynomials

    Christopoulos, C. & Mckee, J., Jan 2010, In : Mathematical Proceedings of the Cambridge Philosophical Society. 148, p. 47-54 8 p.

    Research output: Contribution to journalArticle

  38. 2011
  39. Published

    On the distribution of the coefficients of normal forms for Frobenius expansions

    McKee, J., Galbraith, S., Avanzi, R. & Benits, W., 2011, In : Designs, Codes and Cryptography. 61, 1, p. 71-89

    Research output: Contribution to journalArticle

  40. Published

    Computing totally positive algebraic integers of small trace

    McKee, J., Apr 2011, In : Mathematics of Computation. 80, 274, p. 1041 1052 p.

    Research output: Contribution to journalArticle

  41. 2012
  42. Published

    Integer symmetric matrices of small spectral radius and small Mahler measure

    McKee, J. & Smyth, C., 2012, In : International Mathematics Research Notices. 2012, 1, p. 102-136 35 p.

    Research output: Contribution to journalArticle

  43. Published

    Salem numbers and Pisot numbers via interlacing

    McKee, J. & Smyth, C., 2012, In : Canadian Journal of Mathematics. 64, 2, p. 345-367 23 p.

    Research output: Contribution to journalArticle

  44. Published

    Salem numbers and Pisot numbers via interlacing

    McKee, J. & Smyth, C., 2012, In : Canadian Journal of Mathematics. 64, 2, p. 345-367

    Research output: Contribution to journalArticle

  45. Published

    Constructing k-radius sequences

    R. Blackburn, S. & F. McKee, J., Oct 2012, In : Mathematics of Computation. 81, 280, p. 2439-2459

    Research output: Contribution to journalArticle

  46. 2013
  47. Published

    Single polynomials that correspond to pairs of cyclotomic polynomials with interlacing zeros

    McKee, J. & Smyth, C., 1 May 2013, In : Central European Journal of Mathematics. 11, 5, p. 882-899

    Research output: Contribution to journalArticle

  48. 2014
  49. Published

    A classification of all 1-Salem graphs

    McKee, J. & Gumbrell, L., 2014, In : LMS Journal of Computation and Mathematics. 17, 1, p. 582-594 13 p.

    Research output: Contribution to journalArticle

  50. Published

    Non-Bipartite Graphs of Small Mahler Measure

    McKee, J., Cooley, J. & Smyth, C., 2014, In : Journal of Combinatorics and Number Theory. 5, 2, p. 53-64 12 p.

    Research output: Contribution to journalArticle

  51. Published

    A trace bound for positive definite connected integer symmetric matrices

    McKee, J. & Yatsyna, P., 1 Mar 2014, In : Linear Algebra and Its Applications. 444, p. 227-230 4 p.

    Research output: Contribution to journalArticle

  52. 2016
  53. Published

    Salem numbers of trace -2, and a conjecture of Estes and Guralnick

    McKee, J. & Yatsyna, P., Mar 2016, In : Journal of Number Theory. 160, p. 409–417 9 p.

    Research output: Contribution to journalArticle

  54. 2018
  55. Published

    A contraction theorem for the largest eigenvalue of a multigraph

    McKee, J., 15 Nov 2018, In : Linear Algebra and Its Applications. 557, p. 339-349 11 p.

    Research output: Contribution to journalArticle

  56. 2020
  57. E-pub ahead of print

    Symmetrizable integer matrices having all their eigenvalues in the interval [-2,2]

    McKee, J. & Smyth, C., 2 Jun 2020, In : Algebraic Combinatorics. 3, 3, p. 775-789 15 p.

    Research output: Contribution to journalArticle

  58. Published

    Symmetrizable matrices, quotients, and the trace problem

    McKee, J. & Smyth, C., 1 Sep 2020, In : Linear Algebra and Its Applications. 600, p. 60-81 22 p.

    Research output: Contribution to journalArticle