James McKee

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• 2022

  The Cassels heights of cyclotomic integers

  McKee, J., Oh, B-K. & Smyth, C., 2 Sept 2022, In: Mathematische Zeitschrift. 302, p. 1785-1796 12 p.

  Research output: Contribution to journal › Article › peer-review

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• 2021

  Small Mahler measures coming from digraphs

  Coyston, J. & McKee, J., 16 Oct 2021, (E-pub ahead of print) In: EXPERIMENTAL MATHEMATICS.

  Research output: Contribution to journal › Article › peer-review

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• 2020

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

  McKee, J. & Smyth, C., 2 Jun 2020, (E-pub ahead of print) In: Algebraic Combinatorics. 3, 3, p. 775-789 15 p.

  Research output: Contribution to journal › Article › peer-review

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• Symmetrizable matrices, quotients, and the trace problem

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

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• 2018

  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 journal › Article › peer-review

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• 2016

  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 journal › Article › peer-review

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• 2014

  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 journal › Article › peer-review

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• 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 journal › Article › peer-review

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• 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 journal › Article › peer-review

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• 2013

  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 journal › Article › peer-review
• 2012

  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 journal › Article › peer-review

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• 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 journal › Article › peer-review

• 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 journal › Article › peer-review

• 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 journal › Article › peer-review
• 2011

  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 journal › Article › peer-review

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• 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 journal › Article › peer-review
• 2010

  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 journal › Article › peer-review

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• 2007

  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 journal › Article › peer-review

• 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 journal › Article › peer-review
• 2006

  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 journal › Article › peer-review
• 2005

  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 journal › Article › peer-review

• 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 journal › Article › peer-review
• 2004

  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 journal › Article › peer-review
• 2000

  Families of Pisot numbers with negative trace

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

  Research output: Contribution to journal › Article › peer-review

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• 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 journal › Article › peer-review

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• 1999

  Speeding Fermat’s factoring method

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

  Research output: Contribution to journal › Article › peer-review

• 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

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• 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

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• 1996

  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 journal › Article › peer-review
• 1995

  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 journal › Article › peer-review

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• 1994

  Computing division polynomials

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

  Research output: Contribution to journal › Article › peer-review