Collected Papers

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

ALNT On the Lagrange resolvents of a dihedral quintic polynomial, Int. J. Math. Math. Sci. 69 (2004), 3817-3820. (with B. K. Spearman)
ANNT, Analysis 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.
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)
ANNT Density of integers which are discriminants of cyclic fields of odd prime degree, Arch. Math. (Basel) 83 (2004), 507-513. (with B. K. Spearman)
ENT Infinitely many insolvable Diophantine equations, Amer. Math. Monthly 111 (2004), 909-913. (with N. Kimura)
ANNT Evaluation of Weber's functions at quadratic irrationalities, JP J. Algebra Number Theory Appl. 4 (2004), 209-259. (with H. Muzaffar)
ANNT Convolution sums involving the divisor function, Proc. Edinburgh Math. Soc. 47 (2004), 561-572. (with N. Cheng)
ALNT An extension of Vulakh's theorem on units in complex cubic fields, Far East J. Math. Sci. 14 (2004), 1-7.
ALNT, ANNT 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.