Collected Papers

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

ENT n=&Delta + &Delta + 2(&Delta + &Delta), Far East J. Math. Sci. 11 (2003), 233-240.
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, Algebra 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)
ENT Sums of twelve squares, Acta Arith. 109 (2003), 195-204. (with J. G. Huard).
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, ANNT Density of integers which are discriminants of cyclic cubic fields, Far East J. Math. Sci. 8 (2003), 83-87. (with B. K. Spearman)
Algebra, CNT On a procedure for finding the Galois group of a quintic polynomial, Sci. Math. Jpn. 57 (2003), 187-190. (with B. K. Spearman)