Collected Papers |
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View Publications by Year: |
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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The convolution sum Σl+8m=nσ(l)σ(m), Pacific J. Math. 228 (2006), 387-396. |
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On a double series of Chan and Ong, Georgian Math. J. 13 (2006), 793-805. |
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Evaluation of complete elliptic integrals of the first kind at singular moduli, Taiwanese J. Math. 10 (2006), 1633-1660. (with H. Muzaffar) |
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Integral bases for an infinite family of cyclic quintic fields, Asian J. Math. 10 (2006), 765-772. (with D. Eloff and B. K. Spearman) |
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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) |
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The proportion of cyclic quartic field discriminants divisible by a given prime, Kobe J. Math. 23 (2006), 1-10. (with B. K. Spearman) |
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Values of the Euler phi function not divisible by a given prime, Kobe J. Math. 23 (2006), 1-10. (with B. K. Spearman) |
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An arithmetic formula of Liouville, J. Théor. Nombres Bordeaux 18 (2006), 223-239. (with E. McAfee) |
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On the two-dimensional theta functions of the Borweins, Acta Arith. 124 (2006), 177-195. (with A. Alaca and S. Alaca) |
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Cyclic cubic fields of given conductor and given index, Canad. Math. Bull. 49 (2006), 472-480. (with A. K. Silvester and B. K. Spearman) |
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Explicit decomposition of a rational prime in a cubic field, Int. J. Math. Math. Sci. 2006 (2006), 1-11. (with S. Alaca and B. K. Spearman) |
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On the distribution of cyclic cubic fields with index 2, Int. J. Number Theory 2 (2006), 235-247. (with B. K. Spearman) |
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Evaluation of the convolution sums ∑ l+12m=n σ(l)σ(m) and ∑ 3l+4m=n σ(l)σ(m), Advances in Theoretical and Applied Mathemeatics 1 (2006), 27-48. (with A. Alaca and S. Alaca) |
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Cyclic quartic fields with a unique normal integral basis, Far East J. Math. Sci. 21 (2006), 235-240. (with B. K. Spearman) |
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Ramanujan identities and Euler products for a type of Dirichlet series, Acta Arith. 122 (2006), 349-393. (with Z.-H. Sun) |
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An arithmetic formula of Liouville type and an extension of an identity of Ramanujan, JP J. Algebra Number Theory Appl. 6 (2006), 33-56. (with E. McAfee) |
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On the number of representations of n by ax² + bxy + cy², Acta Arith. 122 (2006), 101-171. (with Z.-H. Sun) |
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Evaluation of two convolution sums involving the sum of divisors function, Bull. Austral. Math. Soc. 73 (2006), 107-115. (with M. Lemire) |
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PSL(2,5) sextic fields with a power basis, Kodai Math. J. 29 (2006), 5-12. (with B. K. Spearman and A. Watanabe) |