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Algebraic Number Theory - Analytic Number Theory - Elementary Number Theory - Computational Number Theory - Analysis - Algebra - Geometry - Linear Algebra - Other

ANNT Representation numbers of certain quaternary quadratic forms in a genus consisting of a single class, International Journal of Number Theory 12(6) (2016), 1529-1573. (with Ayse Alaca and Saban Alaca)
ANNT Quartic residuacity and the quadratic character of certain quadratic irrationalities, International Journal of Number Theory 11(8) (2015), 2487-2503. (with Ronald J. Evans)
ANNT Some new evaluations of the Legendre symbol (a+bsqrt(q)/p), Acta Arithmetica 170(4) (2015), 361-380. (with Lerna Pehlivan)
ANNT Historical remark on a theorem of Zhang and Yue, Journal of Number Theory 147 (2015), 691-693.
ANNT Lifting monogenic cubic fields to monogenic sextic fields, Kodai Mathematical Journal 34 (2011), 410-425. (with M. J. Lavallee and B. K. Spearman)
ALNT A normal relative integral basis for the normal closure of a pure cubic field over Q(√-3), International Journal of Contemporary Mathematical Sciences 3 (2008), 1427-1432. (with B. K. Spearman)
ALNT Indices of integers in cyclic cubic fields, International Mathematical Forum 3 (2008), 1595-1606.(with B. K. Spearman)
ANNT The simplest D4-octics, International Journal of Algebra 2 (2008), 79-89.(with B. K. Spearman)
ALNT A number field with infinitely many normal integral bases, Fibonacci Quarterly 45 (2007), 151-154. (with D. Eloff and B. K. Spearman)
ALNT The conductor of Lecacheux's parametric family of cyclic quintic fields, Indian Journal of Pure and Applied Mathematics 38 (2007), 231-240. (with A. K. Silvester and B. K. Spearman)
ALNT A4-sextic fields with a power basis, Missouri Journal of Mathematical Sciences 19 (2007), 188-194. (with D. Eloff and B. K. Spearman)
ALNT On the common index divisors of a dihedral field of prime degree, Int. J. Math. Math. Sci. 2007 (2007), 1-8. (with B.K. Spearman and Q. Yang)
ALNT Reducibility and the Galois group of a parametric family of quintic polynomials, Missouri J. of Math. Sci. 19 (2007), 2-10. (with M. J. Lavallee and B. K. Spearman)
ALNT Integral bases for an infinite family of cyclic quintic fields, Asian J. Math. 10 (2006), 765-772. (with D. Eloff and B. K. Spearman)
ALNT The prime ideal factorization of 2 in pure quartic fields with index 2, Math. J. Okayama Univ. 48 (2006), 43-46. (with B. K. Spearman)
ALNT The proportion of cyclic quartic field discriminants divisible by a given prime, Kobe J. Math. 23 (2006), 1-10. (with B. K. Spearman)
ALNT Cyclic cubic fields of given conductor and given index, Canad. Math. Bull. 49 (2006), 472-480. (with A. K. Silvester and B. K. Spearman)
ALNT Explicit decomposition of a rational prime in a cubic field, Int. J. Math. Math. Sci. 2006 (2006), 1-11. (S. Alaca and B. K. Spearman)
ALNT On the distribution of cyclic cubic fields with index 2, Int. J. Number Theory 2 (2006), 235-247. (with B. K. Spearman)
ALNT Cyclic quartic fields with a unique normal integral basis, Far East J. Math. Sci. 21 (2006), 235-240. (with B. K. Spearman)
ALNT On the number of representations of n by ax² + bxy + cy², Acta Arith. 122 (2006), 101-171. (with Z.-H. Sun)
ALNT PSL(2,5) sextic fields with a power basis, Kodai Math. J. 29 (2006), 5-12. (with B. K. Spearman and A. Watanabe)
ALNT Dihedral quintic fields with a power basis, Math. J. Okayama Univ. 47 (2005), 75-79. (with M. J. Lavallee, B. K. Spearman, and Q. Yang)
ALNT Irreducible quartic polynomials with factorizations modulo p, Amer. Math. Monthly 112 (2005), 876-890. (with E. Driver and P. A. Leonard)
ALNT On the Lagrange resolvents of a dihedral quintic polynomial, Int. J. Math. Math. Sci. 69 (2004), 3817-3820. (with B. K. Spearman)
ALNT The factorization of 2 in cubic fields with index 2, Far East J. Math. Sci. 14 (2004), 273-282. (with S. Alaca and B. K. Spearman)
ALNT An extension of Vulakh's theorem on units in complex cubic fields, Far East J. Math. Sci. 14 (2004), 1-7.
ALNT The proportion of cyclic quartic fields with discriminant divisible by a given prime, Proc. Japan Acad. Ser. A Math. Sci. 80 (2004), 141-145. (with B. K. Spearman)
ALNT Normal integral bases for Emma Lehmer's parametric family of cyclic quintics, J. Théor. Nombres Bordeaux 16 (2004), 215-220. (with B. K. Spearman)
ALNT On the number of representations of a positive integer by a binary quadratic form, Acta. Arith. 114 (2004), 87-98. (with P. Kaplan)
ALNT On Voronoi's method for finding an integral basis of a cubic field, Util. Math. 65 (2004), 163-166. (with S. Alaca).
ALNT p-Integral bases of a quartic field defined by a trinomial x4 + ax + b, Far East J. Math. Sci. 12 (2004), 137-168. (with S. Alaca).
ALNT On real cubic fields with a unique fundamental unit, Far East J. Math. Sci. 12 (2004), 1-7.
ALNT Congruences for quadratic units of norm -1, Ramanujan J. 7 (2003), 449-453. (with R. J. Evans and P. Kaplan)
ALNT A simple method for finding an integral basis of a quartic field defined by a trinomial x4+ax+b, JP J. Algebra Number Theory Appl. 3 (2003), 477-505. (with S. Alaca).
ALNT The index of a cyclic quartic field, Monatsh. Math. 140 (2003), 19-70. (with B. K. Spearman)
ALNT The discriminant of a cyclic field of odd prime degree, Rocky Mountain J. Math. 33 (2003), 1101-1122. (with B. K. Spearman).
ALNT The 2-power degree subfields of the splitting fields of polynomials with Frobenius Galois groups, Comm. Algebra 31 (2003), 4745-4763. (with B. K. Spearman and Q. Yang)
ALNT A relative integral basis over Q(√-3) for the normal closure of a pure cubic field, Int. J. Math. Math. Sci. 25 (2003), 1623-1626. (with B.K. Spearman)
ALNT The index of a dihedral quartic field, JP J. Algebra Number Theory Appl. 3 (2003), 121-144. (with A. K. Silvester and B. K. Spearman).
ALNT Density of integers which are discriminants of cyclic cubic fields, Far East J. Math. Sci. 8 (2003), 83-87. (with B. K. Spearman)
ALNT Cubic fields with index 2, Monatsh. Math. 134 (2002), 331-336. (with B. K. Spearman)
ALNT The discriminant of a dihedral quintic field defined by a trinomial x5 + ax + b, Canad. Math. Bull. 45 (2002), 138-153. (with B. K. Spearman)
ALNT The genera representing a positive integer, Acta Arith. 102 (2002), 353-361. (with P. Kaplan)
ALNT On the density of cyclic quartic fields, Canad. Math. Bull. 44 (2001), 97-104. (with Z. M. Ou)
ALNT Integers which are discriminants of bicyclic or cyclic quartic fields, JP J. Algebra Number Theory Appl. 1 (2001), 179-194. (with B.K. Spearman)
ALNT Cubic fields with a power basis, Rocky Mountain J. Math. 31 (2001), 1103-1109. (with B. K. Spearman)
ALNT The cubic congruence x³+Ax²+Bx+C = 0 (mod p) and binary quadratic forms II, J. London Math. Soc. 64 (2001), 273-274. (with B. K. Spearman)
ALNT Quartic trinomials with Galois groups A4 and V4, Far East J. Math. Sci. 2 (2000), 665-672. (with B. K. Spearman)
ALNT Dihedral quintic polynomials and a theorem of Galois, Indian J. Pure Appl. Math. 30 (1999), 839-845. (with B. K. Spearman)
ALNT Cyclic quartic subfields of the splitting field of a quintic trinomial x5 + ax + b with Galois group F20, Far East J. Math. Sci. 1 (1999), 659-667. (with B. K. Spearman)
ALNT DeMoivre's quintic and a theorem of Galois, Far East J. Math. Sci. 1 (1999), 137-143. (with B. K. Spearman)
ALNT Cyclic quartic fields and F20 quintics, Far East J. Math. Sci. 1 (1999), 121-126. (with B. K. Spearman)
ALNT An explicit integral basis for a pure cubic field, Far East J. Math. Sci. 6 (1998), 1-14. (with B. K. Spearman)
ALNT Quadratic subfields of the splitting field of a dihedral quintic trinomial x5 + ax + b, New Zealand J. Math. 26 (1997), 293-299. (with B. K. Spearman and L. Y. Spearman)
ALNT The conductor of a cyclic quartic field using Gauss sums, Czechoslovak Math. J. 47 (1997), 453-462. (with B. K. Spearman)
ALNT On a formula of Dirichlet, Far East J. Math. Sci. 5 (1997), 153-157. (with P. Kaplan)
ALNT Normal relative integral bases for quartic fields over quadratic subfields, Kodai Math. J. 19 (1996), 293-307. (with B. K. Spearman)
ALNT Discriminant of the normal closure of a dihedral quartic field, Arch. Math. (Basel) 67 (1996), 290-295. (with J. G. Huard and B. K. Spearman)
ALNT The intersection of two cyclotomic extensions of a quadratic field, Kyungpook Math. J. 36 (1996), 117-124. (with B. K. Spearman)
ALNT On solvable quintics X5 + aX + b and X5 + aX2 + b, Rocky Mountain J. Math. 26 (1996), 753-772. (with B. K. Spearman)
ALNT Relative integral bases for quartic fields over quadratic subfields, Acta Math. Hungar. 70 (1996), 185-192. (with B. K. Spearman)
ALNT The conductor of a cyclic quartic field, Publ. Math. Debrecen 48 (1996), 13-43. (with B. K. Spearman)
ALNT An arithmetic approach to the Davenport-Hasse relation over GF(p), Rocky Mountain J. Math. 25 (1995), 1341-1350. (with J. G. Huard and B. K. Spearman)
ALNT On the set of primes p which split x3 + B modulo p, Indian J. Pure Appl. Math 26 (1995), 301-308. (with J. G. Huard and B. K. Spearman)
ALNT Unramified quadratic extensions of a quadratic field, Rocky Mountain J. Math. 25 (1995), 783-788. (with B. K. Spearman)
ALNT The subfields of the splitting field of a solvable quintic trinomial x5 + aX + b, J. Math. Sci. (Calcutta) 6 (1995), 15-18. (with B. K. Spearman and L. Y. Spearman)
ALNT Integral bases for quartic fields with quadratic subfields, J. Number Theory 51 (1995), 87-102. (with J. G. Huard and B. K. Spearman)
ALNT Predictive criteria for the representation of primes by binary quadratic forms, Acta Arith. 70 (1995), 215-278. (with J. B. Muskat and B. K. Spearman)
ALNT The primes for which an abelian cubic splits, Tokyo J. Math. 17 (1994), 467-478. (with J. G. Huard and B. K. Spearman)
ALNT Representation of primes by the principal form of negative discriminant D when h(D) is 4, Tamkang Journal of Mathematics 25 (1994), 321-334. (with D. Liu)
Algebra, ANNT A short proof of the formula for the conductor of an abelian cubic field, Norske Vid. Selsk. Skr. 2 (1994), 3-8. (with J. G. Huard and B. K. Spearman)
ALNT Representation of primes in arithmetic progression by binary quadratic forms, J. Number Theory 45 (1993), 61-67. (with P. Kaplan)
ALNT The cubic congruence x3 + Ax2 + Bx + C = 0 (mod p) and binary quadratic forms, Journal of the London Mathematical Society 46 (1992), 397-410. (with B. K. Spearman)
Algebra The squareroot of an ambiguous form in the principal genus, Proc. Edinburgh Math. Soc. 36 (1992), 145-150. (with K. Hardy)
ALNT Representing primes by binary quadratic forms, Amer. Math. Monthly 99 (1992), 423-426. (with B. K. Spearman)
ALNT Determination of modulo p, Acta Arithmetica 61 (1992), 161-172. (with K. Hardy)
ALNT Infrastructure des classes ambiges d'idéaux des ordres des corps quadratiques réels, Enseign. Math. 37 (1991), 263-292. (with F. Halter-Koch, P. Kaplan, and Y. Yamamoto)
ALNT On Yamamoto's reciprocity law, Proc. Amer. Math. Soc. 111 (1991), 607-609.
ALNT Representation of primes by the principal form of discriminant -D when the classnumber h(-D) is 3, Acta Arithmetica 57 (1991), 131-153. (with R. H. Hudson)
ALNT On an assertion of Ramanujan concerning binary quadratic forms, J. Number Theory 38 (1991), 118-133.
ALNT The distance between ideals in the orders of a real quadratic field, Enseign. Math. 36 (1990), 321-358. (with P. Kaplan)
CNT On Eisenstein's problem, Acta Arithmetica 54 (1990), 323-345. (with N. Ishii and P. Kaplan)
ALNT The class number of pairs of positive-definite binary quadratic forms, Acta Aritmetica 52 (1989), 103-117. (with K. Hardy)
ALNT The integers of a cyclic quartic field, Rocky Mountain J. Math. 20 (1990), 145-150. (with R. H. Hudson)
ALNT The representation of a pair of integers by a pair of positive-definite binary quadratic forms, Proc. Amer. Math. Soc. 105 (1989), 847-855. (with K. Hardy and P. Kaplan)
ANNT, CNT Explicit evaluation of certain Eisenstein sums, in Number Theory, Proceedings of the First Conference of the Canadian Number Theory Association, Banff, Alberta, April 17-27, 1988, pp. 553-626, de Gruyter, Berlin, 1990. (with K. Hardy and B. K. Spearman, and the assistance of N. Buck and I. deMille)
ALNT Cyclic quartic fields with relative integral bases over their quadratic subfields, Proc. Amer. Math. Soc. 103 (1988), 687-694. (with B. K. Spearman)
ALNT, CNT 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.
ALNT 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)
ALNT The cyclotomic numbers of order fifteen, Math. Comp. 48 (1987), 67-83. (with N. Buck, L. Smith, and B. K. Spearman)
ALNT Congruences modulo 16 for the class numbers of complex quadratic fields, J. Number Theory 27 (1987), 178-195. (with K. Hardy)
ALNT Cyclotomy of order twelve over GF(p²), p² ≡ 1 (mod 12), Math. Comp. 48 (1987), 444-446. (with J. B. Muskat)
ALNT A congruence relating the class numbers of complex quadratic fields, Acta Arith. 47 (1986), 263-276. (with K. Hardy)
ALNT Cyclotomy of order 15 over GF(p²), p=4, 11 (mod 15), Internat. J. Math. Math. Sci. 9 (1986), 665-704. (with C. Friesen, J. B. Muskat and B. K. Spearman)
ALNT Cycles d'ordre au moins 16 dans le deux groupe des classes d'ideaux au sens strict de corps quadratiques, Proceedings of the International Conference on Class Numbers and Fundamental Units of Algebraic Number Fields, June 24-28, 1986, Katata, Japan, pp. 189-203, Nagoya University, Nagoya, Japan, 1986. (with P. Kaplan)
ALNT 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.
ALNT 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.
ALNT Divisibilite par 16 du nombre des classes au sens strict des corps quadratiques reels dont le deux-groupe des classes est cyclique, Osaka J. Math. 23 (1986), 479-489. (with P. Kaplan and K. Hardy)
ALNT On the solvability of the diophantine equation dV2 - 2eVW - dW2 = 1, Pacific J. Math. 124 (1986), 145-158. (with K. Hardy)
ALNT A simple proof of Eisenstein's reciprocity law from Stickelberger's theorem, Indian J. Pure Appl. Math. 17 (1986), 169-174. (with B. K. Spearman)
ALNT Another proof of Eisenstein's law of cubic reciprocity and its supplement, Rocky Mountain J. Math. 16 (1986), 395-402. (with C. Friesen and B. K. Spearman)
ALNT Pell's equations x² - my² = -1, -4 and continued fractions, J. Number Theory 23 (1986), 169-182. (with P. Kaplan)
ALNT A congruence for the index of a unit of a real abelian number field, Acta. Arith. 46 (1985), 57-72. (with K. Hardy)
ALNT On the evaluation of the Legendre symbol (A + B√mp), Acta Arith. 45 (1985), 255-272. (with K. Hardy and C. Friesen)
ALNT Criteria for biquadratic residuacity modulo a prime p involving quaternary representations of p, Canad. J. Math. 37 (1985), 337-370. (with C. Friesen and L. J. Howe)
ALNT Remark on the class number of Q(√2p) modulo 8 for p≡5(mod 8) a prime, Proc. Amer. Math. Soc. 93 (1985), 198-200. (with C. Friesen)
ALNT An application of dihedral fields to representations of primes by binary quadratic forms, Acta Arith. 44 (1984), 407-413. (with P. Kaplan and Y. Yamamoto)
ALNT Extension of a theorem of Cauchy and Jacobi, J. Number Theory 19 (1984), 309-340. (with D. A. Buell and R. H. Hudson)
ALNT On the strict class number of Q(√2p) modulo 16, p≡1(mod 8) prime, Osaka J. Math. 21 (1984), 23-29. (with P. Kaplan)
ALNT Binomial coefficients and Jacobi sums, Trans. Amer. Math. Soc. 281 (1984), 431-505. (with R. H. Hudson)
ALNT Extensions of theorems of Cunningham-Aigner and Hasse-Evans, Pacific J. Math. 104 (1983), 111-132. (with R. H. Hudson)
ALNT Congruences for representations of primes by binary quadratic forms, Acta Arith. 41 (1982), 311-322. (with R. H. Hudson)
ALNT An application of a formula of Western to the evaluation of certain Jacobsthal sums, Acta Arith. 41 (1982), 261-276. (with R. H. Hudson)
ALNT Congruences modulo 16 for the class numbers of the quadratic fields Q(ñp) and Q(ñ2p) for p a prime congruent to 5 modulo 8, Acta Arith. 40 (1982), 375-397. (with P. Kaplan)
ALNT Class numbers and biquadratic reciprocity, Canad. J. Math. 34 (1982), 969-988. (with J. D. Currie)
ALNT Congruences modulo 8 for the class numbers of Q(√±p), p ≡ 3 (mod 4) a prime, J. Number Theory 15 (1982), 182-198.
ALNT Cauchy-type congruences for binomial coefficients, Proc. Amer. Math. Soc. 85 (1982), 169-174. (with R. H. Hudson)
ALNT On the class numbers of Q(√±2p) modulo 16, for p ≡ 1 (mod 8) a prime, Acta Arith. 40 (1982), 289-296. (with P. Kaplan)
ALNT On the divisibility of the class numbers of Q(√-p) and Q(√-2p) by 16, Canad. Math. Bull. 25 (1982), 200-206. (with P. A. Leonard)
ALNT Resolution of ambiguities in the evaluation of cubic and quartic Jacobsthal sums, Pacific J. Math. 99 (1982), 379-386. (with R. H. Hudson)
ALNT An Artin character and representations of primes by binary quadratic forms. II, Manuscripta Math. 37 (1982), 357-381. (with F. Halter-Koch and P. Kaplan)
ALNT A new criterion for 7 to be a fourth power (mod p), Israel J. Math. 38 (1981), 221-230. (with R. H. Hudson)
ALNT A representation problem involving binary quadratic forms, Arch. Math. (Basel) 36 (1981), 53-56. (with P. A. Leonard)
ALNT An Artin character and representation of primes by binary quadratic forms, Manuscripta Math. 33 (1981), 339-356. (with P. Kaplan)
ALNT Note on the quadratic character of a quadratic unit, Pacific J. Math. 92 (1981), 35-38. (with D. A. Buell and P. A. Leonard)
ALNT The class number of Q(√p) modulo 4, for p ≡ 5 (mod 8) a prime, Pacific J. Math. 92 (1981), 241-248.
ALNT On the class number of Q(√-p) modulo 16, for p ≡ 1 (mod 8) a prime, Acta Arith. 39 (1981), 381-398.
ALNT Some new residuacity criteria, Pacific J. Math. 91 (1980), 135-143. (with R. H. Hudson)
ALNT The quartic character of certain quadratic units, J. Number Theory 12 (1980), 106-109. (with P. A. Leonard)
ALNT On the evaluation of (εq1q2/p), Rocky Mountain J. Math. 10 (1980), 559-573.
ALNT The quadratic and quartic character of certain quadratic units. II, Rocky Mountain J. Math. 9 (1979), 683-692. (with P. A. Leonard)
ALNT An octic reciprocity law of Scholz type, Proc. Amer. Math. Soc. 77 (1979), 315-318. (with D. A. Buell)
ALNT Evaluation of character sums connected with elliptic curves, Proc. Amer. Math. Soc. 73 (1979), 291-299.
ALNT Remark on an assertion of Chowla, Norske Vid. Selsk. Skr. (Trondheim), No. 1 (1979), 3-4.
ALNT Evaluation of certain Jacobsthal sums, Boll. Un. Mat. Ital. 15 (1978), 717-723. (with P. A. Leonard)
ALNT Is there an octic reciprocity law of Scholz type?, Amer. Math. Monthly 85 (1978), 483-484. (with D. A. Buell)
ALNT On Eisenstein's supplement to the law of cubic reciprocity, Bull. Calcutta Math. Soc. 69 (1977), 311-314.
ALNT On the imaginary bicyclic biquadratic fields with class-number 2, Math. Comp. 31 (1977), 1034-1042. (with D. A. Buell and H. C. Williams)
ALNT On Scholz's reciprocity law, Proc. Amer. Math. Soc. 64 (1977), 45-46.
ALNT Note on Burde's rational biquadratic reciprocity theorem, Canad. Math. Bull. 20 (1977), 145-146.
ALNT A rational sixteenth power reciprocity law, Acta Arith. 33 (1977), 365-377. (with P. A. Leonard)
ALNT The quadratic and quartic character of certain quadratic units. I, Pacific J. Math. 71 (1977), 101-106. (with P. A. Leonard)
ALNT On the supplement to the law of biquadratic reciprocity, Proc. Amer. Math. Soc. 59 (1976), 19-22.
ALNT Explicit criteria for quintic residuacity, Math. Comp. 30 (1976), 847-853.
ALNT A rational octic reciprocity law, Pacific J. Math. 63 (1976), 563-570.
ALNT Explicit forms of Kummer's complementary theorems to his law of quintic reciprocity, J. Reine Angew. Math. 288 (1976), 207-210.
ALNT Note on a result of Barrucand and Cohn, J. Reine Angew. Math. 285 (1976), 218-220.
ALNT The eleventh power character of 2, J. Reine Angew. Math. 286/287 (1976), 213-222. (with P. A. Leonard and B. C. Mortimer)
ALNT Cubic nonresidues (mod p), Delta (Waukesha) 6 (1976), 23-28.
ALNT Note on a result of Kaplan, Proc. Amer. Math. Soc. 56 (1976), 34-36.
ALNT The cyclotomic numbers of order eleven, Acta Arith. 26 (1975), 365-383. (with P. A. Leonard)
ALNT On Euler's criterion for quintic nonresidues, Pacific J. Math. 61 (1975), 543-550.
ALNT 2 as a ninth power (mod p), J. Indian Math. Soc. 39 (1975), 167-172.
ALNT Note on non-Euclidean principal ideal domains, Math. Mag. 48 (1975), 176-177.
ALNT On Euler's criterion for cubic nonresidues, Proc. Amer. Math. Soc. 49 (1975), 277-283.
ALNT The cyclotomic numbers of order seven, Proc. Amer. Math. Soc. 51 (1975), 295-300. (with P. A. Leonard)
ALNT Note on a cubic character sum, Aequationes Math. 12 (1975), 229-231.
ALNT Note on the supplement to the law of cubic reciprocity, Proc. Amer. Math. Soc. 47 (1975), 333-334.
ALNT Jacobi sums and a theorem of Brewer, Rocky Mountain J. Math. 5 (1975), 301-308. (Erratum 6 (1976), 509.)
ALNT The septic character of 2, 3, 5 and 7, Pacific J. Math. 52 (1974), 142-147. (with P. A. Leonard)
ALNT 3 as a ninth power (mod p), Math. Scand. 35 (1974), 309-317.
ALNT A diophantine system of Dickson, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 56 (1974), 145-150. (with P. A. Leonard)
ALNT Forms representable by integral binary quadratic forms, Acta Arith. 26 (1974), 1-9. (with P. A. Leonard)
ALNT Note on a paper of S. Uchiyama, Canad. Math. Bull. 17 (1974), 289-293. (with B. C. Mortimer)
ALNT Another proof of a theorem of Niven, Math. Mag. 46 (1973), 39.
ALNT Representation of a binary quadratic form as a sum of two squares, Proc. Amer. Math. Soc. 32 (1972), 368-370.
ALNT Forms representable by an integral positive-definite binary quadratic form, Math. Scand. 29 (1971), 73-86.
ALNT Note on Dickson's permutation polynomials, Duke Math. J. 38 (1971), 659-665.
ALNT Note on a theorem of Pall, Proc. Amer. Math. Soc. 28 (1971), 315-316.
ALNT Integers of biquadratic fields, Canad. Math. Bull. 13 (1970), 519-526.
ALNT Addendum to "On a theorem of Niven", Canad. Math. Bull. 11 (1968), 145.
ALNT On a theorem of Niven, Canad. Math. Bull. 10 (1967), 573-578.