Pascal's Triangle (mod 8). - James G. Huard; Blair K. Spearman; Kenneth S. Williams (Eur. J. Comb., 1998)

On the Lagrange resolvents of a dihedral quintic polynomial. - Blair K. Spearman; Kenneth S. Williams (Int. J. Math. Math. Sci., 2004)

Infinitely Many Insolvable Diophantine Equations. - Noriaki Kimura; Kenneth S. Williams (Am. Math. Mon., 2004)

Irreducible Quartic Polynomials with Factorizations modulo p. - Eric Driver; Philip A. Leonard; Kenneth S. Williams (Am. Math. Mon., 2005)

Explicit decomposition of a rational prime in a cubic field. - Saban Alaca; Blair K. Spearman; Kenneth S. Williams (Int. J. Math. Math. Sci., 2006)

On the Common Index Divisors of a Dihedral Field of Prime Degree. - Blair K. Spearman; Kenneth S. Williams; Qiduan Yang (Int. J. Math. Math. Sci., 2007)

Arithmetic Progressions and Binary Quadratic Forms. - Ayse Alaca; Saban Alaca; Kenneth S. Williams (Am. Math. Mon., 2008)

The Parents of Jacobi's Four Squares Theorem Are Unique. - Kenneth S. Williams (Am. Math. Mon., 2013)

Historical Remark on Ramanujan′s Tau Function. - Kenneth S. Williams (Am. Math. Mon., 2015)

A "Four Integers" Theorem and a "Five Integers" Theorem. - Kenneth S. Williams (Am. Math. Mon., 2015)

A Positive-Definite Ternary Quadratic Form Does Not Represent All Positive Integers. - Greg Doyle; Kenneth S. Williams (Integers, 2017)

(k, l)-Universality of Ternary Quadratic Forms ax2+by2+cz2. - Lerna Pehlivan; Kenneth S. Williams (Integers, 2018)

Positive-Definite Ternary Quadratic Forms Which are (4, 1)-universal and (4, 3)-universal. - Lerna Pehlivan; Kenneth S. Williams (Integers, 2018)

Everything You Wanted To Know About ax2+by2+cz2+dt2 But Were Afraid To Ask. - Kenneth S. Williams (Am. Math. Mon., 2018)

Positive Integers Represented by Regular Primitive Positive-definite Integral Ternary Quadratic Forms. - Greg Doyle; Joseph B. Muskat; Lerna Pehlivan; Kenneth S. Williams (Integers, 2019)

An Arithmetic Proof of a Theorem of Chan, Long, and Yang. - Kenneth S. Williams (Am. Math. Mon., 2023)