Collected Papers |
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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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A number field with infinitely many normal integral bases, Fibonacci Quarterly 45 (2007), 151-154. (with D. Eloff and B. K. Spearman) |
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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) |
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A4-sextic fields with a power basis, Missouri Journal of Mathematical Sciences 19 (2007), 188-194. (with D. Eloff and B. K. Spearman) |
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Nineteen quaternary quadratic forms, Acta Arithmetica 130 (2007), 277-310. (with A. Alaca, S. Alaca and M. F. Lemire) |
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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) |
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The simplest proof of Jacobi's six squares theorem, Far East J. Math. Sci. 27 (2007), 187-192. (with A. Alaca and S. Alaca) |
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On the quaternary forms x2+y2+z2+5t2, x2+y2+5z2+5t2 and x2+5y2+5z2+5t2, JP J. Algebra Number Theory Appl. 9 (2007), 37-53. (with A. Alaca and S. Alaca) |
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Jacobi's identity and representation of integers by certain quaternary quadratic forms, Int. J. Modern Math. 2 (2007), 143-176. (with A. Alaca, S. Alaca and M. F. Lemire) |
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Evaluation of the convolution sums Σl+24m=nσ(l)σ(m) and Σ3l+8m=nσ(l)σ(m), Math. J. Okayama Univ. 49 (2007), 93-111. (with A. Alaca and S. Alaca) |
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On integers with prime factors restricted to certain congruence classes, Far East J. Math. Sci. 24 (2007), 153-161. (with B. K. Spearman) |
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Lambert series and Liouville's identities, Dissertationes Math. 445 (2007), 1-72. (with A. Alaca, S. Alaca and E. McAfee) |
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An infinite class of identities, Bull. Austral. Math. Soc. 75 (2007), 239-246. (with A. Alaca and S. Alaca) |
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Evaluation of the convolution sums Σl+6m=nσ(l)σ(m) and Σ2l+3m=nσ(l)σ(m), J. Number Theory 124 (2007), 491-510. (with S. Alaca) |
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Reducibility and the Galois group of a parametric family of quintic polynomials, Missouri J. Math. Sci. 19 (2007), 2-10. (with M. J. Lavallee and B. K. Spearman) |
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Nonexistence of a composition law, Math Mag. 80 (2007), 142-144. (with S. Alaca) |
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Evaluation of the convolution sums Σl+18m=nσ(l)σ(m) and Σ2l+9m=nσ(l)σ(m), International Mathematical Forum 2 (2007), 45-68. (with A. Alaca and S. Alaca) |