Collected Papers |
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View Publications by Subject: Algebraic Number Theory - Analytic Number Theory - Elementary Number Theory - Computational Number Theory - Analysis - Algebra - Geometry - Linear Algebra - Other |
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Two term class number formulae of Dirichlet type, Far East J. Math. Sci. 16 (2005), 1-16. (with S. Godin) |
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On a procedure for finding the Galois group of a quintic polynomial, Sci. Math. Jpn. 57 (2003), 187-190. (with B. K. Spearman) |
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Some refinements of an algorithm of Brillhart, Number Theory, Proceedings of the Fourth Conference of the Canadian Number Theory Association, Dalhousie University, Halifax NS, July 1994, Canadian Mathematical Society Conference Proceedings 15 (1995), 409-416. |
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On finding the solutions of n=au2+buv+cv2 in integers u and v, Utilitas Math. 46 (1994), 3-19. |
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A refinement of H.C. Williams' qth root algorithm, Math. Comp. 61 (1993), 475-483. (with K. Hardy) |
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A deterministic algorithm for solving n = ƒu² + gv² in coprime integers u and v, Math. Comp. 55 (1990), 327-343. (with K. Hardy and J. B. Muskat) |
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On Eisenstein's problem, Acta Arithmetica 54 (1990), 323-345. (with N. Ishii and P. Kaplan) |
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Solving n = au2+buv+cv2 using the Euclidean algorithm, Utilitas Math. 38 (1990), 225-236. (with K. Hardy and J. B. Muskat) |
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Determination of all imaginary cyclic quartic fields with class number 2, Trans. Amer. Math. Soc. 311 (1989), 1-55. (with K. Hardy, R. H. Hudson, and D. Richman) |
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The class number two problem for certain quartic fields, Sixteenth Manitoba Conference on Numerical Mathematics and Computing, Winnipeg, Manitoba, 1986, Congr. Numer. 56 (1987), 63-70. |
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Calculation of the class numbers of imaginary cyclic quartic fields, Math. Comp. 49 (1987), 615-620. (with K. Hardy, R. H. Hudson, D. Richman, and N. M. Holtz) |
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The cyclotomic numbers of order fifteen, Math. Comp. 48 (1987), 67-83. (with N. Buck, L. Smith, and B. K. Spearman) |
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Cyclotomy of order twelve over GF(p²), p² ≡ 1 (mod 12), Math. Comp. 48 (1987), 444-446. (with J. B. Muskat) |
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The class number two problem for certain quartic fields, Proceedings of the Symposium on Algebraic Number Theory, Kyoto University, Japan, June 22-July 3, 1986, pp. 51--59. |
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Calculation of the class numbers of certain quartic fields, Proceedings of the International Conference on Class Numbers and Fundamental Units of Algebraic Number Fields, June 24-28, 1986, Katata, Japan, pp. 139-150. |
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Class number formulae of Dirichlet type, Math. Comp. 39 (1982), 725-732. (with R. H. Hudson) |
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On the imaginary bicyclic biquadratic fields with class-number 2, Math. Comp. 31 (1977), 1034-1042. (with D. A. Buell and H. C. Williams) |
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A quadratic partition of primes p ≡ 1 (mod 7), Math. Comp. 28 (1974), 1133-1136. |
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Note on a paper of S. Uchiyama, Canad. Math. Bull. 17 (1974), 289-293. (with B. C. Mortimer) |
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On Norrie's identity, Math. Mag. 37 (1964), 322. |
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On the factorization of the first four composite Mersenne numbers, Math. Gaz. 48 (1964), 213. |
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On the divisibility of F6 by 274, 177, Math. Gaz. 46 (1962), 315-316. |