| Gauss and Jacobi sums BC Berndt, RJ Evans, KS Williams Wiley, 1998 | 1300 | 1998 |
| Introductory algebraic number theory S Alaca, KS Williams (No Title), 2003 | 306 | 2003 |
| Elementary evaluation of certain convolution sums involving divisor functions JG Huard, ZM Ou, BK Spearman, KS Williams Number theory for the Millennium 2, 229-274, 2002 | 172 | 2002 |
| Number theory in the spirit of Liouville KS Williams Cambridge University Press, 2011 | 158 | 2011 |
| A simple norm inequality CF Dunkl, KS Williams The American Mathematical Monthly 71 (1), 53, 1964 | 151 | 1964 |
| Integers of biquadratic fields KS Williams Canadian Mathematical Bulletin 13 (4), 519-526, 1970 | 113 | 1970 |
| Evaluation of the convolution sums∑ l+ 6m= nσ (l) σ (m) and∑ 2l+ 3m= nσ (l) σ (m) Ş Alaca, KS Williams Journal of Number Theory 124 (2), 491-510, 2007 | 86* | 2007 |
| The convolution sum∑ m< n∕ 8σ (m) σ (n− 8m) K Williams Pacific Journal of Mathematics 228 (2), 387-396, 2006 | 74* | 2006 |
| On Tornheim's double series JG Huard, KS Williams, Z Nan-Yue Acta Arithmetica 75 (2), 105-117, 1996 | 73 | 1996 |
| σ (m) and∑ 3l+ 4m= n σ (l) σ (m) A Alaca, S Alaca, KS Williams Advances in Theoretical and Applied Mathematics 1 (1), 27-48, 2006 | 72 | 2006 |
| Note on cubics over GF (2n) and GF (3n) KS Williams Journal of Number Theory 7 (4), 361-365, 1975 | 71 | 1975 |
| Pell's equations X2− mY2=− 1,− 4 and continued fractions P Kaplan, KS Williams Journal of number theory 23 (2), 169-182, 1986 | 70 | 1986 |
| On the two-dimensional theta functions of the Borweins A Alaca, Ş Alaca, KS Williams Acta Arithmetica 124, 177-195, 2006 | 68 | 2006 |
| Nineteen quaternary quadratic forms A Alaca, Ş Alaca, MF Lemire, KS Williams Acta Arithmetica 130, 277-310, 2007 | 67 | 2007 |
| Integral bases for quartic fields with quadratic subfields JG Huard, BK Spearman, KS Williams Journal of number theory 51 (1), 87-102, 1995 | 62 | 1995 |
| Calculation of the class numbers of imaginary cyclic quartic fields K Hardy, RH Hudson, D Richman, KS Williams, NM Holtz mathematics of computation 49 (180), 615-620, 1987 | 60 | 1987 |
| A deterministic algorithm for solving 𝑛= 𝑓𝑢²+ 𝑔𝑣² in coprime integers 𝑢 and 𝑣 K Hardy, JB Muskat, KS Williams mathematics of computation 55 (191), 327-343, 1990 | 56 | 1990 |
| The nth Power of a 2 × 2 Matrix KS Williams Mathematics Magazine 65 (5), 336-336, 1992 | 53 | 1992 |
| The Convolution Sum Σm< n/16σ (m) σ (n–16m) A Alaca, Ş Alaca, KS Williams Canadian Mathematical Bulletin 51 (1), 3-14, 2008 | 52 | 2008 |
| Characterization of Solvable Quintics x5 + ax + b BK Spearman, KS Williams The American mathematical monthly 101 (10), 986-992, 1994 | 52 | 1994 |
