Collected Papers of Kenneth S. Williams |
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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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Small solutions of the congruence ax2 + by2 ≡ c (mod k), Canad. Math. Bull. 12 (1969), 311-320. |
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Note on factorable polynomials, Canad. Math. Bull. 12 (1969), 589-595. |
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The distribution of solutions of congruences: Corrigendum and Addendum, Mathematika 16 (1969), 98-100. (with J. H. H. Chalk) |
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Distinct values of a polynomial in subsets of a finite field, Canad. J. Math. 21 (1969), 1483-1488. |
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Polynomials with irreducible factors of specified degree, Canad. Math. Bull. 12 (1969), 221-223. |
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On two conjectures of Chowla, Canad. Math. Bull. 12 (1969), 545-565. |
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Addendum to "On a theorem of Niven", Canad. Math. Bull. 11 (1968), 145. |
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Note on pairs of consecutive residues of polynomials, Canad. Math. Bull. 11 (1968), 79-83. |
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On exceptional polynomials, Canad. Math. Bull. 11 (1968), 279-282. |
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Quadratic polynomials with the same residues, Amer. Math. Monthly 75 (1968), 969-973. |
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Cubic polynomials with the same residues (mod p), Proc. Cambridge Philos. Soc. 64 (1968), 655-658 (with K. McCann). |
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The distribution of the residues of a quartic polynomial, Glasgow Math. J. 8 (1967), 67-88. (with K. McCann) |
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On extremal polynomials, Canad. Math. Bull. 10 (1967), 585-594. |
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On general polynomials, Canad. Math. Bull. 10 (1967), 579-583. |
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Pairs of consecutive residues of polynomials, Canad. J. Math. 19 (1967), 655-666. |
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A sum of fractional parts, Amer. Math. Monthly 74 (1967), 978-980. |
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On a theorem of Niven, Canad. Math. Bull. 10 (1967), 573-578. |
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An elementary number-theoretic formula, Math. Student 35 (1967), 47-50. |
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On the residues of a cubic polynomial (mod p), Canad. Math. Bull. 10 (1967), 29-38. (with K. McCann) |
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On the least non-residue of a quartic polynomial, Proc. Cambridge Philos. Soc. 62 (1966), 429-431. |
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A sum of fractional parts. II., J. Natur. Sci. and Math. 6 (1966), 209-216. |
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Eisenstein's criteria for absolute irreducibility over a finite field, Canad. Math. Bull. 9 (1966), 575-580. |
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On the number of solutions of a congruence, Amer. Math. Monthly 73 (1966), 44-49. |
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The distribution of solutions of congruences, Mathematika 12 (1965), 176-192. (with J. H. H. Chalk) |
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On Norrie's identity, Math. Mag. 37 (1964), 322. |
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A note on the quadratic form ax2 + 2bxy + cy2, Math. Gaz. 48 (1964), 290-291. |
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On the factorization of the first four composite Mersenne numbers, Math. Gaz. 48 (1964), 213. |
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A simple norm inequality, Amer. Math. Monthly 71 (1964), 53-54. (with C. F. Dunkl) |
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On the divisibility of F6 by 274, 177, Math. Gaz. 46 (1962), 315-316. |
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A generalisation of Cardan's solution of the cubic, Math. Gaz. 46 (1962), 221-223. |