Gauss and Jacobi Sums BC Berndt Canadian Mathematical Society Series of Monographs and Advanced Texts/John …, 1998 | 1352 | 1998 |
Introductory algebraic number theory S Alaca, KS Williams (No Title), 2003 | 331 | 2003 |
Elementary evaluation of certain convolution sums involving divisor functions JG Huard Number theory for the millennium, II/AK Peters, 2002 | 173 | 2002 |
Number Theory in the Spirit of Liouville KS Williams London Mathematical Society, 2011 | 163 | 2011 |
A simple norm inequality CF Dunkl, KS Williams The American Mathematical Monthly 71 (1), 53, 1964 | 156 | 1964 |
Integers of biquadratic fields KS Williams Canadian Mathematical Bulletin 13 (4), 519-526, 1970 | 115 | 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 | 88* | 2007 |
On Tornheim's double series JG Huard, KS Williams, Z Nan-Yue Acta Arithmetica 75 (2), 105-117, 1996 | 77 | 1996 |
Note on cubics over GF (2n) and GF (3n) KS Williams Journal of Number Theory 7 (4), 361-365, 1975 | 77 | 1975 |
The convolution sum∑ m< n∕ 8σ (m) σ (n− 8m) K Williams Pacific Journal of Mathematics 228 (2), 387-396, 2006 | 76* | 2006 |
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 | 75 | 2006 |
On the two-dimensional theta functions of the Borweins A Alaca, Ş Alaca, KS Williams Acta Arithmetica 124, 177-195, 2006 | 73 | 2006 |
Pell's equations X2− mY2=− 1,− 4 and continued fractions P Kaplan, KS Williams Journal of number theory 23 (2), 169-182, 1986 | 69 | 1986 |
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 | 65 | 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 | 63 | 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 | 60 | 1990 |
The nth Power of a 2 × 2 Matrix KS Williams Mathematics Magazine 65 (5), 336-336, 1992 | 57 | 1992 |
Merten's theorem for arithmetic progressions KS Williams Journal of number theory 6 (5), 353-359, 1974 | 56 | 1974 |
Characterization of Solvable Quintics x5 + ax + b BK Spearman, KS Williams The American mathematical monthly 101 (10), 986-992, 1994 | 55 | 1994 |