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On the Lagrange resolvents of a dihedral quintic polynomial, Int. J. Math. Math. Sci. 69 (2004), 3817-3820. (with B. K. Spearman) |
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A cubic transformation formula for 2F1(1/3,2/3;1;z) and some arithmetic convolution formulae, Math. Proc. Camb. Phil. Soc. 137 (2004), 519-539. |
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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) |
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Density of integers which are discriminants of cyclic fields of odd prime degree, Arch. Math. (Basel) 83 (2004), 507-513. (with B. K. Spearman) |
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Infinitely many insolvable Diophantine equations, Amer. Math. Monthly 111 (2004), 909-913. (with N. Kimura) |
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Evaluation of Weber's functions at quadratic irrationalities, JP J. Algebra Number Theory Appl. 4 (2004), 209-259. (with H. Muzaffar) |
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Convolution sums involving the divisor function, Proc. Edinburgh Math. Soc. 47 (2004), 561-572. (with N. Cheng) |
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An extension of Vulakh's theorem on units in complex cubic fields, Far East J. Math. Sci. 14 (2004), 1-7. |
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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) |
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Normal integral bases for Emma Lehmer's parametric family of cyclic quintics, J. Théor. Nombres Bordeaux 16 (2004), 215-220. (with B. K. Spearman) |
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On the number of representations of a positive integer by a binary quadratic form, Acta. Arith. 114 (2004), 87-98. (with P. Kaplan) |
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On Voronoi's method for finding an integral basis of a cubic field, Util. Math. 65 (2004), 163-166. (with S. Alaca). |
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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). |
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On real cubic fields with a unique fundamental unit, Far East J. Math. Sci. 12 (2004), 1-7. |