On the Ramanujan-Lodge harmonic number expansion. - Cristinel Mortici; Mark B. Villarino (Appl. Math. Comput., 2015)

The Error in an Alternating Series. - Mark B. Villarino (Am. Math. Mon., 2018)

Hilbert's Proof of His Irreducibility Theorem. - Mark B. Villarino; William Gasarch; Kenneth W. Regan (Am. Math. Mon., 2018)

Gauss on Gaussian Quadrature. - Mark B. Villarino (Am. Math. Mon., 2020)

Legendre's Singular Modulus. - Mark B. Villarino (Am. Math. Mon., 2022)

Legendre-Teege Quadratic Reciprocity. - Mark B. Villarino (Am. Math. Mon., 2023)