| Ramanujan's harmonic number expansion into negative powers of a triangular number MB Villarino arXiv preprint arXiv:0707.3950, 2007 | 104 | 2007 |
| A note on the accuracy of Ramanujan’s approximative formula for the perimeter of an ellipse MB Villarino Journal of Inequalities in Pure and Applied Mathematics 7 (1-21), 1-10, 2006 | 32 | 2006 |
| A refinement of Ramanujan’s factorial approximation MD Hirschhorn, MB Villarino The Ramanujan Journal 34, 73-81, 2014 | 24 | 2014 |
| On the Ramanujan–Lodge harmonic number expansion C Mortici, MB Villarino Applied Mathematics and Computation 251, 423-430, 2015 | 20 | 2015 |
| Mertens' proof of mertens' theorem MB Villarino arXiv preprint math/0504289, 2005 | 20 | 2005 |
| Hilbert’s proof of his irreducibility theorem MB Villarino, W Gasarch, KW Regan The American Mathematical Monthly 125 (6), 513-530, 2018 | 14 | 2018 |
| Sharp bounds for the harmonic numbers MB Villarino arXiv preprint math/0510585, 2005 | 9 | 2005 |
| Ramanujan's approximation to the nth partial sum of the harmonic series MB Villarino arXiv preprint math/0402354, 2004 | 7 | 2004 |
| Ramanujan’s inverse elliptic arc approximation MB Villarino The Ramanujan Journal 34 (2), 157-161, 2014 | 6 | 2014 |
| On the monotonicity of the correction term in Ramanujan's factorial approximation MB Villarino, DC Salas, JC Rojas arXiv preprint arXiv:1112.1896, 2011 | 5 | 2011 |
| On the Archimedean or semiregular polyhedra MB Villarino Elemente der Mathematik 63 (2), 76-87, 2008 | 5 | 2008 |
| A cubic surface of revolution MB Villarino The Mathematical Gazette 98 (542), 281-290, 2014 | 4 | 2014 |
| Algebraic addition theorems MB Villarino arXiv preprint arXiv:1212.6471, 2012 | 4 | 2012 |
| The AGM simple pendulum MB Villarino arXiv preprint arXiv:1202.2782, 2012 | 4 | 2012 |
| The error in an alternating series MB Villarino The American Mathematical Monthly 125 (4), 360-364, 2018 | 3 | 2018 |
| Decartes' Perfect Lens MB Villarino arXiv preprint arXiv:0704.1059, 2007 | 3 | 2007 |
| 91.24 The probability of a run MB Villarino The Mathematical Gazette 91 (520), 134-137, 2007 | 3 | 2007 |
| Gauss on Gaussian quadrature MB Villarino The American Mathematical Monthly 127 (2), 125-138, 2020 | 2 | 2020 |
| A Direct Proof of Landen's Transformation MB Villarino arXiv preprint math/0507108, 2005 | 2 | 2005 |
| Best bounds for the harmonic numbers M Villarino arXiv preprint math.CA/0510585, 2005 | 2 | 2005 |
